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Finding the Fourth Proportional to 186,328, 257,137.20 and 101,449.68

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Solution

The fourth proportional to 186,328, 257,137.20 and 101,449.68 is: 140,003.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,328 : 257,137.20 = 101,449.68 : x
  2. Step 2: Convert to fraction form
    186,328/257,137.20 = 101,449.68/x
  3. Step 3: Cross multiply
    186,328x = 257,137.20 × 101,449.68
  4. Step 4: Simplify right side
    186,328x = 26,086,486,656.10
  5. Step 5: Solve for x
    x = 26,086,486,656.10/186,328
  6. Step 6: Final answer
    x = 140,003.04

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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.