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Finding the Fourth Proportional to 295,713.20, 443,569.80 and 137,957.60

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Solution

The fourth proportional to 295,713.20, 443,569.80 and 137,957.60 is: 206,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,713.20 : 443,569.80 = 137,957.60 : x
  2. Step 2: Convert to fraction form
    295,713.20/443,569.80 = 137,957.60/x
  3. Step 3: Cross multiply
    295,713.20x = 443,569.80 × 137,957.60
  4. Step 4: Simplify right side
    295,713.20x = 61,193,825,040.48
  5. Step 5: Solve for x
    x = 61,193,825,040.48/295,713.20
  6. Step 6: Final answer
    x = 206,936.40

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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.