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Finding the Fourth Proportional to 230,010.30, 317,434.14 and 128,071.80

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Solution

The fourth proportional to 230,010.30, 317,434.14 and 128,071.80 is: 176,750.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,010.30 : 317,434.14 = 128,071.80 : x
  2. Step 2: Convert to fraction form
    230,010.30/317,434.14 = 128,071.80/x
  3. Step 3: Cross multiply
    230,010.30x = 317,434.14 × 128,071.80
  4. Step 4: Simplify right side
    230,010.30x = 40,654,361,691.25
  5. Step 5: Solve for x
    x = 40,654,361,691.25/230,010.30
  6. Step 6: Final answer
    x = 176,750.18

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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.