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Finding the Fourth Proportional to 277,885.32, 416,863.26 and 88,278.06

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Solution

The fourth proportional to 277,885.32, 416,863.26 and 88,278.06 is: 132,428.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,885.32 : 416,863.26 = 88,278.06 : x
  2. Step 2: Convert to fraction form
    277,885.32/416,863.26 = 88,278.06/x
  3. Step 3: Cross multiply
    277,885.32x = 416,863.26 × 88,278.06
  4. Step 4: Simplify right side
    277,885.32x = 36,799,879,878.08
  5. Step 5: Solve for x
    x = 36,799,879,878.08/277,885.32
  6. Step 6: Final answer
    x = 132,428.30

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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.