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Finding the Fourth Proportional to 230,092.60, 317,527.14 and 129,490.60

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Solution

The fourth proportional to 230,092.60, 317,527.14 and 129,490.60 is: 178,696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,092.60 : 317,527.14 = 129,490.60 : x
  2. Step 2: Convert to fraction form
    230,092.60/317,527.14 = 129,490.60/x
  3. Step 3: Cross multiply
    230,092.60x = 317,527.14 × 129,490.60
  4. Step 4: Simplify right side
    230,092.60x = 41,116,779,874.88
  5. Step 5: Solve for x
    x = 41,116,779,874.88/230,092.60
  6. Step 6: Final answer
    x = 178,696.66

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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.