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Finding the Fourth Proportional to 208,539.60, 312,809.40 and 129,613.20

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Solution

The fourth proportional to 208,539.60, 312,809.40 and 129,613.20 is: 194,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,539.60 : 312,809.40 = 129,613.20 : x
  2. Step 2: Convert to fraction form
    208,539.60/312,809.40 = 129,613.20/x
  3. Step 3: Cross multiply
    208,539.60x = 312,809.40 × 129,613.20
  4. Step 4: Simplify right side
    208,539.60x = 40,544,227,324.08
  5. Step 5: Solve for x
    x = 40,544,227,324.08/208,539.60
  6. Step 6: Final answer
    x = 194,419.80

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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.