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Finding the Fourth Proportional to 232,503.52, 320,952.36 and 157,154.08

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Solution

The fourth proportional to 232,503.52, 320,952.36 and 157,154.08 is: 216,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,503.52 : 320,952.36 = 157,154.08 : x
  2. Step 2: Convert to fraction form
    232,503.52/320,952.36 = 157,154.08/x
  3. Step 3: Cross multiply
    232,503.52x = 320,952.36 × 157,154.08
  4. Step 4: Simplify right side
    232,503.52x = 50,438,972,859.63
  5. Step 5: Solve for x
    x = 50,438,972,859.63/232,503.52
  6. Step 6: Final answer
    x = 216,938.53

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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.