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Finding the Fourth Proportional to 230,306.68, 345,460.02 and 89,966.89

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Solution

The fourth proportional to 230,306.68, 345,460.02 and 89,966.89 is: 134,950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,306.68 : 345,460.02 = 89,966.89 : x
  2. Step 2: Convert to fraction form
    230,306.68/345,460.02 = 89,966.89/x
  3. Step 3: Cross multiply
    230,306.68x = 345,460.02 × 89,966.89
  4. Step 4: Simplify right side
    230,306.68x = 31,079,963,618.74
  5. Step 5: Solve for x
    x = 31,079,963,618.74/230,306.68
  6. Step 6: Final answer
    x = 134,950.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.