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Finding the Fourth Proportional to 187,241.60, 280,863.60 and 74,931.20

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Solution

The fourth proportional to 187,241.60, 280,863.60 and 74,931.20 is: 112,397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,241.60 : 280,863.60 = 74,931.20 : x
  2. Step 2: Convert to fraction form
    187,241.60/280,863.60 = 74,931.20/x
  3. Step 3: Cross multiply
    187,241.60x = 280,863.60 × 74,931.20
  4. Step 4: Simplify right side
    187,241.60x = 21,045,446,584.32
  5. Step 5: Solve for x
    x = 21,045,446,584.32/187,241.60
  6. Step 6: Final answer
    x = 112,397.28

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Why These Related Problems?

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