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Finding the Fourth Proportional to 167,406.04, 250,977.78 and 78,613.84

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Solution

The fourth proportional to 167,406.04, 250,977.78 and 78,613.84 is: 117,859.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,406.04 : 250,977.78 = 78,613.84 : x
  2. Step 2: Convert to fraction form
    167,406.04/250,977.78 = 78,613.84/x
  3. Step 3: Cross multiply
    167,406.04x = 250,977.78 × 78,613.84
  4. Step 4: Simplify right side
    167,406.04x = 19,730,327,040.48
  5. Step 5: Solve for x
    x = 19,730,327,040.48/167,406.04
  6. Step 6: Final answer
    x = 117,859.11

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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.