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Finding the Fourth Proportional to 185,866.60, 278,799.90 and 133,767.40

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Solution

The fourth proportional to 185,866.60, 278,799.90 and 133,767.40 is: 200,651.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,866.60 : 278,799.90 = 133,767.40 : x
  2. Step 2: Convert to fraction form
    185,866.60/278,799.90 = 133,767.40/x
  3. Step 3: Cross multiply
    185,866.60x = 278,799.90 × 133,767.40
  4. Step 4: Simplify right side
    185,866.60x = 37,294,337,743.26
  5. Step 5: Solve for x
    x = 37,294,337,743.26/185,866.60
  6. Step 6: Final answer
    x = 200,651.10

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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.