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Finding the Fourth Proportional to 187,098.36, 280,782 and 74,714.16

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Solution

The fourth proportional to 187,098.36, 280,782 and 74,714.16 is: 112,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,098.36 : 280,782 = 74,714.16 : x
  2. Step 2: Convert to fraction form
    187,098.36/280,782 = 74,714.16/x
  3. Step 3: Cross multiply
    187,098.36x = 280,782 × 74,714.16
  4. Step 4: Simplify right side
    187,098.36x = 20,978,391,273.12
  5. Step 5: Solve for x
    x = 20,978,391,273.12/187,098.36
  6. Step 6: Final answer
    x = 112,124.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.