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Finding the Fourth Proportional to 209,357.68, 288,905.28 and 113,864.32

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Solution

The fourth proportional to 209,357.68, 288,905.28 and 113,864.32 is: 157,128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,357.68 : 288,905.28 = 113,864.32 : x
  2. Step 2: Convert to fraction form
    209,357.68/288,905.28 = 113,864.32/x
  3. Step 3: Cross multiply
    209,357.68x = 288,905.28 × 113,864.32
  4. Step 4: Simplify right side
    209,357.68x = 32,896,003,251.61
  5. Step 5: Solve for x
    x = 32,896,003,251.61/209,357.68
  6. Step 6: Final answer
    x = 157,128.24

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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.