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Finding the Fourth Proportional to 180,275.86, 270,223.10 and 67,907.46

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Solution

The fourth proportional to 180,275.86, 270,223.10 and 67,907.46 is: 101,789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,275.86 : 270,223.10 = 67,907.46 : x
  2. Step 2: Convert to fraction form
    180,275.86/270,223.10 = 67,907.46/x
  3. Step 3: Cross multiply
    180,275.86x = 270,223.10 × 67,907.46
  4. Step 4: Simplify right side
    180,275.86x = 18,350,164,354.33
  5. Step 5: Solve for x
    x = 18,350,164,354.33/180,275.86
  6. Step 6: Final answer
    x = 101,789.36

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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.