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Finding the Fourth Proportional to 208,864.52, 288,225.32 and 113,369.20

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Solution

The fourth proportional to 208,864.52, 288,225.32 and 113,369.20 is: 156,445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,864.52 : 288,225.32 = 113,369.20 : x
  2. Step 2: Convert to fraction form
    208,864.52/288,225.32 = 113,369.20/x
  3. Step 3: Cross multiply
    208,864.52x = 288,225.32 × 113,369.20
  4. Step 4: Simplify right side
    208,864.52x = 32,675,873,948.14
  5. Step 5: Solve for x
    x = 32,675,873,948.14/208,864.52
  6. Step 6: Final answer
    x = 156,445.31

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Why These Related Problems?

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