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Finding the Fourth Proportional to 232,560.30, 320,929.13 and 130,586.57

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Solution

The fourth proportional to 232,560.30, 320,929.13 and 130,586.57 is: 180,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,560.30 : 320,929.13 = 130,586.57 : x
  2. Step 2: Convert to fraction form
    232,560.30/320,929.13 = 130,586.57/x
  3. Step 3: Cross multiply
    232,560.30x = 320,929.13 × 130,586.57
  4. Step 4: Simplify right side
    232,560.30x = 41,909,032,042.21
  5. Step 5: Solve for x
    x = 41,909,032,042.21/232,560.30
  6. Step 6: Final answer
    x = 180,207.16

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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.