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Finding the Fourth Proportional to 267,807.84, 401,714.03 and 68,128.40

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Solution

The fourth proportional to 267,807.84, 401,714.03 and 68,128.40 is: 102,193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,807.84 : 401,714.03 = 68,128.40 : x
  2. Step 2: Convert to fraction form
    267,807.84/401,714.03 = 68,128.40/x
  3. Step 3: Cross multiply
    267,807.84x = 401,714.03 × 68,128.40
  4. Step 4: Simplify right side
    267,807.84x = 27,368,134,121.45
  5. Step 5: Solve for x
    x = 27,368,134,121.45/267,807.84
  6. Step 6: Final answer
    x = 102,193.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.