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Finding the Fourth Proportional to 261,778.92, 361,270.08 and 197,132.40

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Solution

The fourth proportional to 261,778.92, 361,270.08 and 197,132.40 is: 272,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,778.92 : 361,270.08 = 197,132.40 : x
  2. Step 2: Convert to fraction form
    261,778.92/361,270.08 = 197,132.40/x
  3. Step 3: Cross multiply
    261,778.92x = 361,270.08 × 197,132.40
  4. Step 4: Simplify right side
    261,778.92x = 71,218,037,918.59
  5. Step 5: Solve for x
    x = 71,218,037,918.59/261,778.92
  6. Step 6: Final answer
    x = 272,054.14

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1.5x scale

Why These Related Problems?

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