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Finding the Fourth Proportional to 274,552.12, 411,711.54 and 94,657.24

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Solution

The fourth proportional to 274,552.12, 411,711.54 and 94,657.24 is: 141,945.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,552.12 : 411,711.54 = 94,657.24 : x
  2. Step 2: Convert to fraction form
    274,552.12/411,711.54 = 94,657.24/x
  3. Step 3: Cross multiply
    274,552.12x = 411,711.54 × 94,657.24
  4. Step 4: Simplify right side
    274,552.12x = 38,971,478,052.55
  5. Step 5: Solve for x
    x = 38,971,478,052.55/274,552.12
  6. Step 6: Final answer
    x = 141,945.65

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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.