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Finding the Fourth Proportional to 186,005.40, 278,424.90 and 133,517.40

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Solution

The fourth proportional to 186,005.40, 278,424.90 and 133,517.40 is: 199,857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,005.40 : 278,424.90 = 133,517.40 : x
  2. Step 2: Convert to fraction form
    186,005.40/278,424.90 = 133,517.40/x
  3. Step 3: Cross multiply
    186,005.40x = 278,424.90 × 133,517.40
  4. Step 4: Simplify right side
    186,005.40x = 37,174,568,743.26
  5. Step 5: Solve for x
    x = 37,174,568,743.26/186,005.40
  6. Step 6: Final answer
    x = 199,857.47

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1.5x scale

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.