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Finding the Fourth Proportional to 147,242.93, 220,895.78 and 84,093.30

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Solution

The fourth proportional to 147,242.93, 220,895.78 and 84,093.30 is: 126,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,242.93 : 220,895.78 = 84,093.30 : x
  2. Step 2: Convert to fraction form
    147,242.93/220,895.78 = 84,093.30/x
  3. Step 3: Cross multiply
    147,242.93x = 220,895.78 × 84,093.30
  4. Step 4: Simplify right side
    147,242.93x = 18,575,854,675.81
  5. Step 5: Solve for x
    x = 18,575,854,675.81/147,242.93
  6. Step 6: Final answer
    x = 126,157.88

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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.