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Finding the Fourth Proportional to 230,515.25, 345,689.74 and 97,405.82

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Solution

The fourth proportional to 230,515.25, 345,689.74 and 97,405.82 is: 146,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,515.25 : 345,689.74 = 97,405.82 : x
  2. Step 2: Convert to fraction form
    230,515.25/345,689.74 = 97,405.82/x
  3. Step 3: Cross multiply
    230,515.25x = 345,689.74 × 97,405.82
  4. Step 4: Simplify right side
    230,515.25x = 33,672,192,279.93
  5. Step 5: Solve for x
    x = 33,672,192,279.93/230,515.25
  6. Step 6: Final answer
    x = 146,073.60

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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.