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Finding the Fourth Proportional to 223,531.80, 335,357.10 and 97,117.80

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Solution

The fourth proportional to 223,531.80, 335,357.10 and 97,117.80 is: 145,702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,531.80 : 335,357.10 = 97,117.80 : x
  2. Step 2: Convert to fraction form
    223,531.80/335,357.10 = 97,117.80/x
  3. Step 3: Cross multiply
    223,531.80x = 335,357.10 × 97,117.80
  4. Step 4: Simplify right side
    223,531.80x = 32,569,143,766.38
  5. Step 5: Solve for x
    x = 32,569,143,766.38/223,531.80
  6. Step 6: Final answer
    x = 145,702.51

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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.