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Finding the Fourth Proportional to 232,502.42, 320,871.88 and 130,534.58

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Solution

The fourth proportional to 232,502.42, 320,871.88 and 130,534.58 is: 180,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,502.42 : 320,871.88 = 130,534.58 : x
  2. Step 2: Convert to fraction form
    232,502.42/320,871.88 = 130,534.58/x
  3. Step 3: Cross multiply
    232,502.42x = 320,871.88 × 130,534.58
  4. Step 4: Simplify right side
    232,502.42x = 41,884,876,089.61
  5. Step 5: Solve for x
    x = 41,884,876,089.61/232,502.42
  6. Step 6: Final answer
    x = 180,148.13

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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.