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Finding the Fourth Proportional to 272,926.37, 409,451.88 and 83,413.71

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Solution

The fourth proportional to 272,926.37, 409,451.88 and 83,413.71 is: 125,139.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,926.37 : 409,451.88 = 83,413.71 : x
  2. Step 2: Convert to fraction form
    272,926.37/409,451.88 = 83,413.71/x
  3. Step 3: Cross multiply
    272,926.37x = 409,451.88 × 83,413.71
  4. Step 4: Simplify right side
    272,926.37x = 34,153,900,377.27
  5. Step 5: Solve for x
    x = 34,153,900,377.27/272,926.37
  6. Step 6: Final answer
    x = 125,139.61

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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.