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Finding the Fourth Proportional to 343,897.20, 515,845.80 and 157,273.20

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Solution

The fourth proportional to 343,897.20, 515,845.80 and 157,273.20 is: 235,909.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,897.20 : 515,845.80 = 157,273.20 : x
  2. Step 2: Convert to fraction form
    343,897.20/515,845.80 = 157,273.20/x
  3. Step 3: Cross multiply
    343,897.20x = 515,845.80 × 157,273.20
  4. Step 4: Simplify right side
    343,897.20x = 81,128,719,672.56
  5. Step 5: Solve for x
    x = 81,128,719,672.56/343,897.20
  6. Step 6: Final answer
    x = 235,909.80

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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.