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Finding the Fourth Proportional to 270,057.64, 405,340.70 and 137,033.40

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Solution

The fourth proportional to 270,057.64, 405,340.70 and 137,033.40 is: 205,679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,057.64 : 405,340.70 = 137,033.40 : x
  2. Step 2: Convert to fraction form
    270,057.64/405,340.70 = 137,033.40/x
  3. Step 3: Cross multiply
    270,057.64x = 405,340.70 × 137,033.40
  4. Step 4: Simplify right side
    270,057.64x = 55,545,214,279.38
  5. Step 5: Solve for x
    x = 55,545,214,279.38/270,057.64
  6. Step 6: Final answer
    x = 205,679.11

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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.