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Finding the Fourth Proportional to 257,345.40, 386,020.98 and 107,608.44

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Solution

The fourth proportional to 257,345.40, 386,020.98 and 107,608.44 is: 161,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,345.40 : 386,020.98 = 107,608.44 : x
  2. Step 2: Convert to fraction form
    257,345.40/386,020.98 = 107,608.44/x
  3. Step 3: Cross multiply
    257,345.40x = 386,020.98 × 107,608.44
  4. Step 4: Simplify right side
    257,345.40x = 41,539,115,465.07
  5. Step 5: Solve for x
    x = 41,539,115,465.07/257,345.40
  6. Step 6: Final answer
    x = 161,413.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.