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Finding the Fourth Proportional to 232,500.52, 320,947.14 and 157,151.08

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Solution

The fourth proportional to 232,500.52, 320,947.14 and 157,151.08 is: 216,933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,500.52 : 320,947.14 = 157,151.08 : x
  2. Step 2: Convert to fraction form
    232,500.52/320,947.14 = 157,151.08/x
  3. Step 3: Cross multiply
    232,500.52x = 320,947.14 × 157,151.08
  4. Step 4: Simplify right side
    232,500.52x = 50,437,189,673.91
  5. Step 5: Solve for x
    x = 50,437,189,673.91/232,500.52
  6. Step 6: Final answer
    x = 216,933.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.