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Finding the Fourth Proportional to 209,279.60, 314,092.20 and 97,132.40

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Solution

The fourth proportional to 209,279.60, 314,092.20 and 97,132.40 is: 145,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,279.60 : 314,092.20 = 97,132.40 : x
  2. Step 2: Convert to fraction form
    209,279.60/314,092.20 = 97,132.40/x
  3. Step 3: Cross multiply
    209,279.60x = 314,092.20 × 97,132.40
  4. Step 4: Simplify right side
    209,279.60x = 30,508,529,207.28
  5. Step 5: Solve for x
    x = 30,508,529,207.28/209,279.60
  6. Step 6: Final answer
    x = 145,778.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.