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Finding the Fourth Proportional to 232,654.95, 320,982.05 and 152,129.61

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Solution

The fourth proportional to 232,654.95, 320,982.05 and 152,129.61 is: 209,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,654.95 : 320,982.05 = 152,129.61 : x
  2. Step 2: Convert to fraction form
    232,654.95/320,982.05 = 152,129.61/x
  3. Step 3: Cross multiply
    232,654.95x = 320,982.05 × 152,129.61
  4. Step 4: Simplify right side
    232,654.95x = 48,830,873,322.85
  5. Step 5: Solve for x
    x = 48,830,873,322.85/232,654.95
  6. Step 6: Final answer
    x = 209,885.38

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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.