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Finding the Fourth Proportional to 121,870.20, 182,448.90 and 86,878.20

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Solution

The fourth proportional to 121,870.20, 182,448.90 and 86,878.20 is: 130,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,870.20 : 182,448.90 = 86,878.20 : x
  2. Step 2: Convert to fraction form
    121,870.20/182,448.90 = 86,878.20/x
  3. Step 3: Cross multiply
    121,870.20x = 182,448.90 × 86,878.20
  4. Step 4: Simplify right side
    121,870.20x = 15,850,832,023.98
  5. Step 5: Solve for x
    x = 15,850,832,023.98/121,870.20
  6. Step 6: Final answer
    x = 130,063.23

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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.