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Finding the Fourth Proportional to 213,105.60, 319,543.20 and 88,459.20

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Solution

The fourth proportional to 213,105.60, 319,543.20 and 88,459.20 is: 132,640.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,105.60 : 319,543.20 = 88,459.20 : x
  2. Step 2: Convert to fraction form
    213,105.60/319,543.20 = 88,459.20/x
  3. Step 3: Cross multiply
    213,105.60x = 319,543.20 × 88,459.20
  4. Step 4: Simplify right side
    213,105.60x = 28,266,535,837.44
  5. Step 5: Solve for x
    x = 28,266,535,837.44/213,105.60
  6. Step 6: Final answer
    x = 132,640.98

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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.