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Finding the Fourth Proportional to 257,110.69, 354,812.75 and 156,508.69

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Solution

The fourth proportional to 257,110.69, 354,812.75 and 156,508.69 is: 215,981.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,110.69 : 354,812.75 = 156,508.69 : x
  2. Step 2: Convert to fraction form
    257,110.69/354,812.75 = 156,508.69/x
  3. Step 3: Cross multiply
    257,110.69x = 354,812.75 × 156,508.69
  4. Step 4: Simplify right side
    257,110.69x = 55,531,278,697.80
  5. Step 5: Solve for x
    x = 55,531,278,697.80/257,110.69
  6. Step 6: Final answer
    x = 215,981.99

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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.