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Finding the Fourth Proportional to 230,034.24, 317,444 and 129,432

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Solution

The fourth proportional to 230,034.24, 317,444 and 129,432 is: 178,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,034.24 : 317,444 = 129,432 : x
  2. Step 2: Convert to fraction form
    230,034.24/317,444 = 129,432/x
  3. Step 3: Cross multiply
    230,034.24x = 317,444 × 129,432
  4. Step 4: Simplify right side
    230,034.24x = 41,087,411,808
  5. Step 5: Solve for x
    x = 41,087,411,808/230,034.24
  6. Step 6: Final answer
    x = 178,614.33

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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.