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Finding the Fourth Proportional to 275,184, 412,612.80 and 117,331.84

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Solution

The fourth proportional to 275,184, 412,612.80 and 117,331.84 is: 175,928.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,184 : 412,612.80 = 117,331.84 : x
  2. Step 2: Convert to fraction form
    275,184/412,612.80 = 117,331.84/x
  3. Step 3: Cross multiply
    275,184x = 412,612.80 × 117,331.84
  4. Step 4: Simplify right side
    275,184x = 48,412,619,031.55
  5. Step 5: Solve for x
    x = 48,412,619,031.55/275,184
  6. Step 6: Final answer
    x = 175,928.18

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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.