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Finding the Fourth Proportional to 209,042.72, 288,484.32 and 113,554.88

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Solution

The fourth proportional to 209,042.72, 288,484.32 and 113,554.88 is: 156,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,042.72 : 288,484.32 = 113,554.88 : x
  2. Step 2: Convert to fraction form
    209,042.72/288,484.32 = 113,554.88/x
  3. Step 3: Cross multiply
    209,042.72x = 288,484.32 × 113,554.88
  4. Step 4: Simplify right side
    209,042.72x = 32,758,802,339.48
  5. Step 5: Solve for x
    x = 32,758,802,339.48/209,042.72
  6. Step 6: Final answer
    x = 156,708.65

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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.