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Finding the Fourth Proportional to 147,614.49, 221,456.87 and 47,774.68

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Solution

The fourth proportional to 147,614.49, 221,456.87 and 47,774.68 is: 71,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,614.49 : 221,456.87 = 47,774.68 : x
  2. Step 2: Convert to fraction form
    147,614.49/221,456.87 = 47,774.68/x
  3. Step 3: Cross multiply
    147,614.49x = 221,456.87 × 47,774.68
  4. Step 4: Simplify right side
    147,614.49x = 10,580,031,098.05
  5. Step 5: Solve for x
    x = 10,580,031,098.05/147,614.49
  6. Step 6: Final answer
    x = 71,673.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.