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Finding the Fourth Proportional to 200,613.60, 276,876.24 and 115,714.08

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Solution

The fourth proportional to 200,613.60, 276,876.24 and 115,714.08 is: 159,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,613.60 : 276,876.24 = 115,714.08 : x
  2. Step 2: Convert to fraction form
    200,613.60/276,876.24 = 115,714.08/x
  3. Step 3: Cross multiply
    200,613.60x = 276,876.24 × 115,714.08
  4. Step 4: Simplify right side
    200,613.60x = 32,038,479,385.46
  5. Step 5: Solve for x
    x = 32,038,479,385.46/200,613.60
  6. Step 6: Final answer
    x = 159,702.43

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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.