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Finding the Fourth Proportional to 253,706.77, 350,115.38 and 138,989.50

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Solution

The fourth proportional to 253,706.77, 350,115.38 and 138,989.50 is: 191,805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,706.77 : 350,115.38 = 138,989.50 : x
  2. Step 2: Convert to fraction form
    253,706.77/350,115.38 = 138,989.50/x
  3. Step 3: Cross multiply
    253,706.77x = 350,115.38 × 138,989.50
  4. Step 4: Simplify right side
    253,706.77x = 48,662,359,162.99
  5. Step 5: Solve for x
    x = 48,662,359,162.99/253,706.77
  6. Step 6: Final answer
    x = 191,805.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.