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Finding the Fourth Proportional to 198,564.60, 297,899.70 and 86,196.60

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Solution

The fourth proportional to 198,564.60, 297,899.70 and 86,196.60 is: 129,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,564.60 : 297,899.70 = 86,196.60 : x
  2. Step 2: Convert to fraction form
    198,564.60/297,899.70 = 86,196.60/x
  3. Step 3: Cross multiply
    198,564.60x = 297,899.70 × 86,196.60
  4. Step 4: Simplify right side
    198,564.60x = 25,677,941,281.02
  5. Step 5: Solve for x
    x = 25,677,941,281.02/198,564.60
  6. Step 6: Final answer
    x = 129,317.82

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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.