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Finding the Fourth Proportional to 149,499.52, 224,098.08 and 96,942.40

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Solution

The fourth proportional to 149,499.52, 224,098.08 and 96,942.40 is: 145,315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,499.52 : 224,098.08 = 96,942.40 : x
  2. Step 2: Convert to fraction form
    149,499.52/224,098.08 = 96,942.40/x
  3. Step 3: Cross multiply
    149,499.52x = 224,098.08 × 96,942.40
  4. Step 4: Simplify right side
    149,499.52x = 21,724,605,710.59
  5. Step 5: Solve for x
    x = 21,724,605,710.59/149,499.52
  6. Step 6: Final answer
    x = 145,315.55

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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.