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Finding the Fourth Proportional to 230,098.70, 345,277.65 and 89,839.10

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Solution

The fourth proportional to 230,098.70, 345,277.65 and 89,839.10 is: 134,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,098.70 : 345,277.65 = 89,839.10 : x
  2. Step 2: Convert to fraction form
    230,098.70/345,277.65 = 89,839.10/x
  3. Step 3: Cross multiply
    230,098.70x = 345,277.65 × 89,839.10
  4. Step 4: Simplify right side
    230,098.70x = 31,019,433,326.12
  5. Step 5: Solve for x
    x = 31,019,433,326.12/230,098.70
  6. Step 6: Final answer
    x = 134,809.25

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Why These Related Problems?

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