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Finding the Fourth Proportional to 208,877.82, 288,251.14 and 113,384.52

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Solution

The fourth proportional to 208,877.82, 288,251.14 and 113,384.52 is: 156,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,877.82 : 288,251.14 = 113,384.52 : x
  2. Step 2: Convert to fraction form
    208,877.82/288,251.14 = 113,384.52/x
  3. Step 3: Cross multiply
    208,877.82x = 288,251.14 × 113,384.52
  4. Step 4: Simplify right side
    208,877.82x = 32,683,217,148.35
  5. Step 5: Solve for x
    x = 32,683,217,148.35/208,877.82
  6. Step 6: Final answer
    x = 156,470.50

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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.