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Finding the Fourth Proportional to 268,561.98, 402,480.09 and 102,259.26

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Solution

The fourth proportional to 268,561.98, 402,480.09 and 102,259.26 is: 153,250.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,561.98 : 402,480.09 = 102,259.26 : x
  2. Step 2: Convert to fraction form
    268,561.98/402,480.09 = 102,259.26/x
  3. Step 3: Cross multiply
    268,561.98x = 402,480.09 × 102,259.26
  4. Step 4: Simplify right side
    268,561.98x = 41,157,316,168.13
  5. Step 5: Solve for x
    x = 41,157,316,168.13/268,561.98
  6. Step 6: Final answer
    x = 153,250.72

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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.