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Finding the Fourth Proportional to 121,405.80, 182,108.70 and 102,160.20

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Solution

The fourth proportional to 121,405.80, 182,108.70 and 102,160.20 is: 153,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,405.80 : 182,108.70 = 102,160.20 : x
  2. Step 2: Convert to fraction form
    121,405.80/182,108.70 = 102,160.20/x
  3. Step 3: Cross multiply
    121,405.80x = 182,108.70 × 102,160.20
  4. Step 4: Simplify right side
    121,405.80x = 18,604,261,213.74
  5. Step 5: Solve for x
    x = 18,604,261,213.74/121,405.80
  6. Step 6: Final answer
    x = 153,240.30

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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.