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Finding the Fourth Proportional to 154,349.34, 213,002.90 and 86,366.46

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Solution

The fourth proportional to 154,349.34, 213,002.90 and 86,366.46 is: 119,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,349.34 : 213,002.90 = 86,366.46 : x
  2. Step 2: Convert to fraction form
    154,349.34/213,002.90 = 86,366.46/x
  3. Step 3: Cross multiply
    154,349.34x = 213,002.90 × 86,366.46
  4. Step 4: Simplify right side
    154,349.34x = 18,396,306,442.73
  5. Step 5: Solve for x
    x = 18,396,306,442.73/154,349.34
  6. Step 6: Final answer
    x = 119,186.17

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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.