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Finding the Fourth Proportional to 173,742, 260,613.54 and 42,414

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Solution

The fourth proportional to 173,742, 260,613.54 and 42,414 is: 63,621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,742 : 260,613.54 = 42,414 : x
  2. Step 2: Convert to fraction form
    173,742/260,613.54 = 42,414/x
  3. Step 3: Cross multiply
    173,742x = 260,613.54 × 42,414
  4. Step 4: Simplify right side
    173,742x = 11,053,662,685.56
  5. Step 5: Solve for x
    x = 11,053,662,685.56/173,742
  6. Step 6: Final answer
    x = 63,621.13

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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.