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Finding the Fourth Proportional to 201,714.62, 302,468.65 and 112,944.29

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Solution

The fourth proportional to 201,714.62, 302,468.65 and 112,944.29 is: 169,358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,714.62 : 302,468.65 = 112,944.29 : x
  2. Step 2: Convert to fraction form
    201,714.62/302,468.65 = 112,944.29/x
  3. Step 3: Cross multiply
    201,714.62x = 302,468.65 × 112,944.29
  4. Step 4: Simplify right side
    201,714.62x = 34,162,105,126.80
  5. Step 5: Solve for x
    x = 34,162,105,126.80/201,714.62
  6. Step 6: Final answer
    x = 169,358.60

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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.