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Finding the Fourth Proportional to 267,081.26, 400,661.48 and 77,543.19

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Solution

The fourth proportional to 267,081.26, 400,661.48 and 77,543.19 is: 116,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,081.26 : 400,661.48 = 77,543.19 : x
  2. Step 2: Convert to fraction form
    267,081.26/400,661.48 = 77,543.19/x
  3. Step 3: Cross multiply
    267,081.26x = 400,661.48 × 77,543.19
  4. Step 4: Simplify right side
    267,081.26x = 31,068,569,269.32
  5. Step 5: Solve for x
    x = 31,068,569,269.32/267,081.26
  6. Step 6: Final answer
    x = 116,326.28

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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.