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Finding the Fourth Proportional to 150,456.40, 225,684.56 and 61,649.28

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Solution

The fourth proportional to 150,456.40, 225,684.56 and 61,649.28 is: 92,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,456.40 : 225,684.56 = 61,649.28 : x
  2. Step 2: Convert to fraction form
    150,456.40/225,684.56 = 61,649.28/x
  3. Step 3: Cross multiply
    150,456.40x = 225,684.56 × 61,649.28
  4. Step 4: Simplify right side
    150,456.40x = 13,913,290,631.12
  5. Step 5: Solve for x
    x = 13,913,290,631.12/150,456.40
  6. Step 6: Final answer
    x = 92,473.90

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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.