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Finding the Fourth Proportional to 209,817.60, 314,764.80 and 85,171.20

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Solution

The fourth proportional to 209,817.60, 314,764.80 and 85,171.20 is: 127,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,817.60 : 314,764.80 = 85,171.20 : x
  2. Step 2: Convert to fraction form
    209,817.60/314,764.80 = 85,171.20/x
  3. Step 3: Cross multiply
    209,817.60x = 314,764.80 × 85,171.20
  4. Step 4: Simplify right side
    209,817.60x = 26,808,895,733.76
  5. Step 5: Solve for x
    x = 26,808,895,733.76/209,817.60
  6. Step 6: Final answer
    x = 127,772.39

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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.