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Finding the Fourth Proportional to 268,567.98, 402,489.08 and 102,265.26

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Solution

The fourth proportional to 268,567.98, 402,489.08 and 102,265.26 is: 153,259.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,567.98 : 402,489.08 = 102,265.26 : x
  2. Step 2: Convert to fraction form
    268,567.98/402,489.08 = 102,265.26/x
  3. Step 3: Cross multiply
    268,567.98x = 402,489.08 × 102,265.26
  4. Step 4: Simplify right side
    268,567.98x = 41,160,650,413.36
  5. Step 5: Solve for x
    x = 41,160,650,413.36/268,567.98
  6. Step 6: Final answer
    x = 153,259.71

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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.