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Finding the Fourth Proportional to 134,820.92, 186,064.03 and 77,471.38

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Solution

The fourth proportional to 134,820.92, 186,064.03 and 77,471.38 is: 106,916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,820.92 : 186,064.03 = 77,471.38 : x
  2. Step 2: Convert to fraction form
    134,820.92/186,064.03 = 77,471.38/x
  3. Step 3: Cross multiply
    134,820.92x = 186,064.03 × 77,471.38
  4. Step 4: Simplify right side
    134,820.92x = 14,414,636,513.62
  5. Step 5: Solve for x
    x = 14,414,636,513.62/134,820.92
  6. Step 6: Final answer
    x = 106,916.92

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Why These Related Problems?

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