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Finding the Fourth Proportional to 119,440.98, 164,773.44 and 77,013.18

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Solution

The fourth proportional to 119,440.98, 164,773.44 and 77,013.18 is: 106,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,440.98 : 164,773.44 = 77,013.18 : x
  2. Step 2: Convert to fraction form
    119,440.98/164,773.44 = 77,013.18/x
  3. Step 3: Cross multiply
    119,440.98x = 164,773.44 × 77,013.18
  4. Step 4: Simplify right side
    119,440.98x = 12,689,726,593.94
  5. Step 5: Solve for x
    x = 12,689,726,593.94/119,440.98
  6. Step 6: Final answer
    x = 106,242.65

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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.