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Finding the Fourth Proportional to 119,521.38, 164,937.14 and 65,807.28

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Solution

The fourth proportional to 119,521.38, 164,937.14 and 65,807.28 is: 90,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,521.38 : 164,937.14 = 65,807.28 : x
  2. Step 2: Convert to fraction form
    119,521.38/164,937.14 = 65,807.28/x
  3. Step 3: Cross multiply
    119,521.38x = 164,937.14 × 65,807.28
  4. Step 4: Simplify right side
    119,521.38x = 10,854,064,554.38
  5. Step 5: Solve for x
    x = 10,854,064,554.38/119,521.38
  6. Step 6: Final answer
    x = 90,812.74

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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.