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Finding the Fourth Proportional to 232,654.57, 320,981.54 and 152,129.23

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Solution

The fourth proportional to 232,654.57, 320,981.54 and 152,129.23 is: 209,884.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,654.57 : 320,981.54 = 152,129.23 : x
  2. Step 2: Convert to fraction form
    232,654.57/320,981.54 = 152,129.23/x
  3. Step 3: Cross multiply
    232,654.57x = 320,981.54 × 152,129.23
  4. Step 4: Simplify right side
    232,654.57x = 48,830,672,961.31
  5. Step 5: Solve for x
    x = 48,830,672,961.31/232,654.57
  6. Step 6: Final answer
    x = 209,884.87

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