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Finding the Fourth Proportional to 185,543.46, 278,273.88 and 52,436.16

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Solution

The fourth proportional to 185,543.46, 278,273.88 and 52,436.16 is: 78,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,543.46 : 278,273.88 = 52,436.16 : x
  2. Step 2: Convert to fraction form
    185,543.46/278,273.88 = 52,436.16/x
  3. Step 3: Cross multiply
    185,543.46x = 278,273.88 × 52,436.16
  4. Step 4: Simplify right side
    185,543.46x = 14,591,613,695.50
  5. Step 5: Solve for x
    x = 14,591,613,695.50/185,543.46
  6. Step 6: Final answer
    x = 78,642.57

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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.