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Finding the Fourth Proportional to 123,164.56, 169,966.96 and 66,575.94

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Solution

The fourth proportional to 123,164.56, 169,966.96 and 66,575.94 is: 91,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,164.56 : 169,966.96 = 66,575.94 : x
  2. Step 2: Convert to fraction form
    123,164.56/169,966.96 = 66,575.94/x
  3. Step 3: Cross multiply
    123,164.56x = 169,966.96 × 66,575.94
  4. Step 4: Simplify right side
    123,164.56x = 11,315,710,130.94
  5. Step 5: Solve for x
    x = 11,315,710,130.94/123,164.56
  6. Step 6: Final answer
    x = 91,874.73

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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.