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Finding the Fourth Proportional to 277,863.30, 416,751.30 and 88,298.69

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Solution

The fourth proportional to 277,863.30, 416,751.30 and 88,298.69 is: 132,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,863.30 : 416,751.30 = 88,298.69 : x
  2. Step 2: Convert to fraction form
    277,863.30/416,751.30 = 88,298.69/x
  3. Step 3: Cross multiply
    277,863.30x = 416,751.30 × 88,298.69
  4. Step 4: Simplify right side
    277,863.30x = 36,798,591,762.04
  5. Step 5: Solve for x
    x = 36,798,591,762.04/277,863.30
  6. Step 6: Final answer
    x = 132,434.16

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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.