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Finding the Fourth Proportional to 232,416.64, 320,721.48 and 130,432.58

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Solution

The fourth proportional to 232,416.64, 320,721.48 and 130,432.58 is: 179,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,416.64 : 320,721.48 = 130,432.58 : x
  2. Step 2: Convert to fraction form
    232,416.64/320,721.48 = 130,432.58/x
  3. Step 3: Cross multiply
    232,416.64x = 320,721.48 × 130,432.58
  4. Step 4: Simplify right side
    232,416.64x = 41,832,528,983.33
  5. Step 5: Solve for x
    x = 41,832,528,983.33/232,416.64
  6. Step 6: Final answer
    x = 179,989.39

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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.