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Finding the Fourth Proportional to 140,969.40, 211,454.10 and 138,895.80

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Solution

The fourth proportional to 140,969.40, 211,454.10 and 138,895.80 is: 208,343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,969.40 : 211,454.10 = 138,895.80 : x
  2. Step 2: Convert to fraction form
    140,969.40/211,454.10 = 138,895.80/x
  3. Step 3: Cross multiply
    140,969.40x = 211,454.10 × 138,895.80
  4. Step 4: Simplify right side
    140,969.40x = 29,370,086,382.78
  5. Step 5: Solve for x
    x = 29,370,086,382.78/140,969.40
  6. Step 6: Final answer
    x = 208,343.70

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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.