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Finding the Fourth Proportional to 121,106.60, 181,767.90 and 71,124.20

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Solution

The fourth proportional to 121,106.60, 181,767.90 and 71,124.20 is: 106,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,106.60 : 181,767.90 = 71,124.20 : x
  2. Step 2: Convert to fraction form
    121,106.60/181,767.90 = 71,124.20/x
  3. Step 3: Cross multiply
    121,106.60x = 181,767.90 × 71,124.20
  4. Step 4: Simplify right side
    121,106.60x = 12,928,096,473.18
  5. Step 5: Solve for x
    x = 12,928,096,473.18/121,106.60
  6. Step 6: Final answer
    x = 106,749.73

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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.