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Finding the Fourth Proportional to 137,300.50, 189,465.70 and 76,870.58

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Solution

The fourth proportional to 137,300.50, 189,465.70 and 76,870.58 is: 106,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,300.50 : 189,465.70 = 76,870.58 : x
  2. Step 2: Convert to fraction form
    137,300.50/189,465.70 = 76,870.58/x
  3. Step 3: Cross multiply
    137,300.50x = 189,465.70 × 76,870.58
  4. Step 4: Simplify right side
    137,300.50x = 14,564,338,249.11
  5. Step 5: Solve for x
    x = 14,564,338,249.11/137,300.50
  6. Step 6: Final answer
    x = 106,076.37

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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.