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Finding the Fourth Proportional to 257,319.90, 386,049.06 and 107,510.40

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Solution

The fourth proportional to 257,319.90, 386,049.06 and 107,510.40 is: 161,294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,319.90 : 386,049.06 = 107,510.40 : x
  2. Step 2: Convert to fraction form
    257,319.90/386,049.06 = 107,510.40/x
  3. Step 3: Cross multiply
    257,319.90x = 386,049.06 × 107,510.40
  4. Step 4: Simplify right side
    257,319.90x = 41,504,288,860.22
  5. Step 5: Solve for x
    x = 41,504,288,860.22/257,319.90
  6. Step 6: Final answer
    x = 161,294.52

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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.