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Finding the Fourth Proportional to 209,233.68, 288,744.33 and 113,740.53

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Solution

The fourth proportional to 209,233.68, 288,744.33 and 113,740.53 is: 156,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,233.68 : 288,744.33 = 113,740.53 : x
  2. Step 2: Convert to fraction form
    209,233.68/288,744.33 = 113,740.53/x
  3. Step 3: Cross multiply
    209,233.68x = 288,744.33 × 113,740.53
  4. Step 4: Simplify right side
    209,233.68x = 32,841,933,128.69
  5. Step 5: Solve for x
    x = 32,841,933,128.69/209,233.68
  6. Step 6: Final answer
    x = 156,962.94

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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.