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Finding the Fourth Proportional to 232,326.38, 320,646.55 and 130,393.04

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Solution

The fourth proportional to 232,326.38, 320,646.55 and 130,393.04 is: 179,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,326.38 : 320,646.55 = 130,393.04 : x
  2. Step 2: Convert to fraction form
    232,326.38/320,646.55 = 130,393.04/x
  3. Step 3: Cross multiply
    232,326.38x = 320,646.55 × 130,393.04
  4. Step 4: Simplify right side
    232,326.38x = 41,810,078,538.92
  5. Step 5: Solve for x
    x = 41,810,078,538.92/232,326.38
  6. Step 6: Final answer
    x = 179,962.68

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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.