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Finding the Fourth Proportional to 186,400.20, 257,054.22 and 125,284.44

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Solution

The fourth proportional to 186,400.20, 257,054.22 and 125,284.44 is: 172,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,400.20 : 257,054.22 = 125,284.44 : x
  2. Step 2: Convert to fraction form
    186,400.20/257,054.22 = 125,284.44/x
  3. Step 3: Cross multiply
    186,400.20x = 257,054.22 × 125,284.44
  4. Step 4: Simplify right side
    186,400.20x = 32,204,894,002.34
  5. Step 5: Solve for x
    x = 32,204,894,002.34/186,400.20
  6. Step 6: Final answer
    x = 172,772.85

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