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Finding the Fourth Proportional to 243,217.20, 364,825.80 and 149,905.20

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Solution

The fourth proportional to 243,217.20, 364,825.80 and 149,905.20 is: 224,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,217.20 : 364,825.80 = 149,905.20 : x
  2. Step 2: Convert to fraction form
    243,217.20/364,825.80 = 149,905.20/x
  3. Step 3: Cross multiply
    243,217.20x = 364,825.80 × 149,905.20
  4. Step 4: Simplify right side
    243,217.20x = 54,689,284,514.16
  5. Step 5: Solve for x
    x = 54,689,284,514.16/243,217.20
  6. Step 6: Final answer
    x = 224,857.80

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1.5x scale

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.