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Finding the Fourth Proportional to 137,415, 189,632.72 and 77,799

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Solution

The fourth proportional to 137,415, 189,632.72 and 77,799 is: 107,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,415 : 189,632.72 = 77,799 : x
  2. Step 2: Convert to fraction form
    137,415/189,632.72 = 77,799/x
  3. Step 3: Cross multiply
    137,415x = 189,632.72 × 77,799
  4. Step 4: Simplify right side
    137,415x = 14,753,235,983.28
  5. Step 5: Solve for x
    x = 14,753,235,983.28/137,415
  6. Step 6: Final answer
    x = 107,362.63

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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.