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Finding the Fourth Proportional to 138,041.69, 207,067.15 and 38,193.53

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Solution

The fourth proportional to 138,041.69, 207,067.15 and 38,193.53 is: 57,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,041.69 : 207,067.15 = 38,193.53 : x
  2. Step 2: Convert to fraction form
    138,041.69/207,067.15 = 38,193.53/x
  3. Step 3: Cross multiply
    138,041.69x = 207,067.15 × 38,193.53
  4. Step 4: Simplify right side
    138,041.69x = 7,908,624,417.95
  5. Step 5: Solve for x
    x = 7,908,624,417.95/138,041.69
  6. Step 6: Final answer
    x = 57,291.57

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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.