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Finding the Fourth Proportional to 149,766.31, 224,710.62 and 96,486.13

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Solution

The fourth proportional to 149,766.31, 224,710.62 and 96,486.13 is: 144,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,766.31 : 224,710.62 = 96,486.13 : x
  2. Step 2: Convert to fraction form
    149,766.31/224,710.62 = 96,486.13/x
  3. Step 3: Cross multiply
    149,766.31x = 224,710.62 × 96,486.13
  4. Step 4: Simplify right side
    149,766.31x = 21,681,458,093.70
  5. Step 5: Solve for x
    x = 21,681,458,093.70/149,766.31
  6. Step 6: Final answer
    x = 144,768.59

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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.