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Finding the Fourth Proportional to 113,614.16, 156,871 and 73,351.44

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Solution

The fourth proportional to 113,614.16, 156,871 and 73,351.44 is: 101,278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,614.16 : 156,871 = 73,351.44 : x
  2. Step 2: Convert to fraction form
    113,614.16/156,871 = 73,351.44/x
  3. Step 3: Cross multiply
    113,614.16x = 156,871 × 73,351.44
  4. Step 4: Simplify right side
    113,614.16x = 11,506,713,744.24
  5. Step 5: Solve for x
    x = 11,506,713,744.24/113,614.16
  6. Step 6: Final answer
    x = 101,278.87

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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.