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Finding the Fourth Proportional to 257,961.71, 386,800.48 and 138,159.06

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Solution

The fourth proportional to 257,961.71, 386,800.48 and 138,159.06 is: 207,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,961.71 : 386,800.48 = 138,159.06 : x
  2. Step 2: Convert to fraction form
    257,961.71/386,800.48 = 138,159.06/x
  3. Step 3: Cross multiply
    257,961.71x = 386,800.48 × 138,159.06
  4. Step 4: Simplify right side
    257,961.71x = 53,439,990,378.95
  5. Step 5: Solve for x
    x = 53,439,990,378.95/257,961.71
  6. Step 6: Final answer
    x = 207,162.49

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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.