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Finding the Fourth Proportional to 134,641.14, 185,805.64 and 77,265.14

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Solution

The fourth proportional to 134,641.14, 185,805.64 and 77,265.14 is: 106,626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,641.14 : 185,805.64 = 77,265.14 : x
  2. Step 2: Convert to fraction form
    134,641.14/185,805.64 = 77,265.14/x
  3. Step 3: Cross multiply
    134,641.14x = 185,805.64 × 77,265.14
  4. Step 4: Simplify right side
    134,641.14x = 14,356,298,787.39
  5. Step 5: Solve for x
    x = 14,356,298,787.39/134,641.14
  6. Step 6: Final answer
    x = 106,626.39

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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.