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Finding the Fourth Proportional to 299,132.86, 448,422.27 and 156,948.70

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Solution

The fourth proportional to 299,132.86, 448,422.27 and 156,948.70 is: 235,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,132.86 : 448,422.27 = 156,948.70 : x
  2. Step 2: Convert to fraction form
    299,132.86/448,422.27 = 156,948.70/x
  3. Step 3: Cross multiply
    299,132.86x = 448,422.27 × 156,948.70
  4. Step 4: Simplify right side
    299,132.86x = 70,379,292,327.55
  5. Step 5: Solve for x
    x = 70,379,292,327.55/299,132.86
  6. Step 6: Final answer
    x = 235,277.70

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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.