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Finding the Fourth Proportional to 230,064.90, 317,440.78 and 145,132.75

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Solution

The fourth proportional to 230,064.90, 317,440.78 and 145,132.75 is: 200,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,064.90 : 317,440.78 = 145,132.75 : x
  2. Step 2: Convert to fraction form
    230,064.90/317,440.78 = 145,132.75/x
  3. Step 3: Cross multiply
    230,064.90x = 317,440.78 × 145,132.75
  4. Step 4: Simplify right side
    230,064.90x = 46,071,053,363.55
  5. Step 5: Solve for x
    x = 46,071,053,363.55/230,064.90
  6. Step 6: Final answer
    x = 200,252.42

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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.