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Finding the Fourth Proportional to 209,350.80, 288,901.68 and 113,855.40

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Solution

The fourth proportional to 209,350.80, 288,901.68 and 113,855.40 is: 157,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,350.80 : 288,901.68 = 113,855.40 : x
  2. Step 2: Convert to fraction form
    209,350.80/288,901.68 = 113,855.40/x
  3. Step 3: Cross multiply
    209,350.80x = 288,901.68 × 113,855.40
  4. Step 4: Simplify right side
    209,350.80x = 32,893,016,337.07
  5. Step 5: Solve for x
    x = 32,893,016,337.07/209,350.80
  6. Step 6: Final answer
    x = 157,119.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.