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Finding the Fourth Proportional to 461,221.52, 691,853.00 and 141,349.95

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Solution

The fourth proportional to 461,221.52, 691,853.00 and 141,349.95 is: 212,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,221.52 : 691,853.00 = 141,349.95 : x
  2. Step 2: Convert to fraction form
    461,221.52/691,853.00 = 141,349.95/x
  3. Step 3: Cross multiply
    461,221.52x = 691,853.00 × 141,349.95
  4. Step 4: Simplify right side
    461,221.52x = 97,793,386,250.60
  5. Step 5: Solve for x
    x = 97,793,386,250.60/461,221.52
  6. Step 6: Final answer
    x = 212,031.28

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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.