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Finding the Fourth Proportional to 349,121.32, 523,869.66 and 138,761

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Solution

The fourth proportional to 349,121.32, 523,869.66 and 138,761 is: 208,216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,121.32 : 523,869.66 = 138,761 : x
  2. Step 2: Convert to fraction form
    349,121.32/523,869.66 = 138,761/x
  3. Step 3: Cross multiply
    349,121.32x = 523,869.66 × 138,761
  4. Step 4: Simplify right side
    349,121.32x = 72,692,677,891.26
  5. Step 5: Solve for x
    x = 72,692,677,891.26/349,121.32
  6. Step 6: Final answer
    x = 208,216.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.