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Finding the Fourth Proportional to 200,602.32, 276,820.92 and 115,714.32

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Solution

The fourth proportional to 200,602.32, 276,820.92 and 115,714.32 is: 159,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,602.32 : 276,820.92 = 115,714.32 : x
  2. Step 2: Convert to fraction form
    200,602.32/276,820.92 = 115,714.32/x
  3. Step 3: Cross multiply
    200,602.32x = 276,820.92 × 115,714.32
  4. Step 4: Simplify right side
    200,602.32x = 32,032,144,519.57
  5. Step 5: Solve for x
    x = 32,032,144,519.57/200,602.32
  6. Step 6: Final answer
    x = 159,679.83

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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.