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Finding the Fourth Proportional to 137,291,796.96, 189,465,950.88 and 75,413,431.68

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Solution

The fourth proportional to 137,291,796.96, 189,465,950.88 and 75,413,431.68 is: 104,072,332.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,291,796.96 : 189,465,950.88 = 75,413,431.68 : x
  2. Step 2: Convert to fraction form
    137,291,796.96/189,465,950.88 = 75,413,431.68/x
  3. Step 3: Cross multiply
    137,291,796.96x = 189,465,950.88 × 75,413,431.68
  4. Step 4: Simplify right side
    137,291,796.96x = 14,288,277,542,375,116
  5. Step 5: Solve for x
    x = 14,288,277,542,375,116/137,291,796.96
  6. Step 6: Final answer
    x = 104,072,332.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.