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Finding the Fourth Proportional to 207,957.40, 310,431.77 and 182,734.80

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Solution

The fourth proportional to 207,957.40, 310,431.77 and 182,734.80 is: 272,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,957.40 : 310,431.77 = 182,734.80 : x
  2. Step 2: Convert to fraction form
    207,957.40/310,431.77 = 182,734.80/x
  3. Step 3: Cross multiply
    207,957.40x = 310,431.77 × 182,734.80
  4. Step 4: Simplify right side
    207,957.40x = 56,726,687,404.60
  5. Step 5: Solve for x
    x = 56,726,687,404.60/207,957.40
  6. Step 6: Final answer
    x = 272,780.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.