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Finding the Fourth Proportional to 122,588.64, 169,201.56 and 74,882.16

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Solution

The fourth proportional to 122,588.64, 169,201.56 and 74,882.16 is: 103,355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,588.64 : 169,201.56 = 74,882.16 : x
  2. Step 2: Convert to fraction form
    122,588.64/169,201.56 = 74,882.16/x
  3. Step 3: Cross multiply
    122,588.64x = 169,201.56 × 74,882.16
  4. Step 4: Simplify right side
    122,588.64x = 12,670,178,288.17
  5. Step 5: Solve for x
    x = 12,670,178,288.17/122,588.64
  6. Step 6: Final answer
    x = 103,355.24

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