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Finding the Fourth Proportional to 149,602.59, 224,285.73 and 74,681.44

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Solution

The fourth proportional to 149,602.59, 224,285.73 and 74,681.44 is: 111,963.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,602.59 : 224,285.73 = 74,681.44 : x
  2. Step 2: Convert to fraction form
    149,602.59/224,285.73 = 74,681.44/x
  3. Step 3: Cross multiply
    149,602.59x = 224,285.73 × 74,681.44
  4. Step 4: Simplify right side
    149,602.59x = 16,749,981,287.85
  5. Step 5: Solve for x
    x = 16,749,981,287.85/149,602.59
  6. Step 6: Final answer
    x = 111,963.18

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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.