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Finding the Fourth Proportional to 235,542.71, 353,180.23 and 160,753.47

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Solution

The fourth proportional to 235,542.71, 353,180.23 and 160,753.47 is: 241,038.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,542.71 : 353,180.23 = 160,753.47 : x
  2. Step 2: Convert to fraction form
    235,542.71/353,180.23 = 160,753.47/x
  3. Step 3: Cross multiply
    235,542.71x = 353,180.23 × 160,753.47
  4. Step 4: Simplify right side
    235,542.71x = 56,774,947,507.90
  5. Step 5: Solve for x
    x = 56,774,947,507.90/235,542.71
  6. Step 6: Final answer
    x = 241,038.87

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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.