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Finding the Fourth Proportional to 121,423.80, 182,135.70 and 102,178.20

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Solution

The fourth proportional to 121,423.80, 182,135.70 and 102,178.20 is: 153,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,423.80 : 182,135.70 = 102,178.20 : x
  2. Step 2: Convert to fraction form
    121,423.80/182,135.70 = 102,178.20/x
  3. Step 3: Cross multiply
    121,423.80x = 182,135.70 × 102,178.20
  4. Step 4: Simplify right side
    121,423.80x = 18,610,297,981.74
  5. Step 5: Solve for x
    x = 18,610,297,981.74/121,423.80
  6. Step 6: Final answer
    x = 153,267.30

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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.