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Finding the Fourth Proportional to 152,151.40, 228,227.10 and 82,167.40

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Solution

The fourth proportional to 152,151.40, 228,227.10 and 82,167.40 is: 123,251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,151.40 : 228,227.10 = 82,167.40 : x
  2. Step 2: Convert to fraction form
    152,151.40/228,227.10 = 82,167.40/x
  3. Step 3: Cross multiply
    152,151.40x = 228,227.10 × 82,167.40
  4. Step 4: Simplify right side
    152,151.40x = 18,752,827,416.54
  5. Step 5: Solve for x
    x = 18,752,827,416.54/152,151.40
  6. Step 6: Final answer
    x = 123,251.10

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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.