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Finding the Fourth Proportional to 208,877.59, 288,251.22 and 113,384.26

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Solution

The fourth proportional to 208,877.59, 288,251.22 and 113,384.26 is: 156,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,877.59 : 288,251.22 = 113,384.26 : x
  2. Step 2: Convert to fraction form
    208,877.59/288,251.22 = 113,384.26/x
  3. Step 3: Cross multiply
    208,877.59x = 288,251.22 × 113,384.26
  4. Step 4: Simplify right side
    208,877.59x = 32,683,151,273.80
  5. Step 5: Solve for x
    x = 32,683,151,273.80/208,877.59
  6. Step 6: Final answer
    x = 156,470.36

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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.