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Finding the Fourth Proportional to 152,067.80, 228,101.70 and 137,034.20

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Solution

The fourth proportional to 152,067.80, 228,101.70 and 137,034.20 is: 205,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,067.80 : 228,101.70 = 137,034.20 : x
  2. Step 2: Convert to fraction form
    152,067.80/228,101.70 = 137,034.20/x
  3. Step 3: Cross multiply
    152,067.80x = 228,101.70 × 137,034.20
  4. Step 4: Simplify right side
    152,067.80x = 31,257,733,978.14
  5. Step 5: Solve for x
    x = 31,257,733,978.14/152,067.80
  6. Step 6: Final answer
    x = 205,551.30

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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.