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Finding the Fourth Proportional to 208,230.40, 287,842.20 and 185,791.78

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Solution

The fourth proportional to 208,230.40, 287,842.20 and 185,791.78 is: 256,824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,230.40 : 287,842.20 = 185,791.78 : x
  2. Step 2: Convert to fraction form
    208,230.40/287,842.20 = 185,791.78/x
  3. Step 3: Cross multiply
    208,230.40x = 287,842.20 × 185,791.78
  4. Step 4: Simplify right side
    208,230.40x = 53,478,714,697.12
  5. Step 5: Solve for x
    x = 53,478,714,697.12/208,230.40
  6. Step 6: Final answer
    x = 256,824.72

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1.5x scale

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.