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Finding the Fourth Proportional to 201,841.92, 278,513.28 and 114,624

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Solution

The fourth proportional to 201,841.92, 278,513.28 and 114,624 is: 158,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,841.92 : 278,513.28 = 114,624 : x
  2. Step 2: Convert to fraction form
    201,841.92/278,513.28 = 114,624/x
  3. Step 3: Cross multiply
    201,841.92x = 278,513.28 × 114,624
  4. Step 4: Simplify right side
    201,841.92x = 31,924,306,206.72
  5. Step 5: Solve for x
    x = 31,924,306,206.72/201,841.92
  6. Step 6: Final answer
    x = 158,164.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.