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Finding the Fourth Proportional to 277,871.06, 416,841.92 and 88,263.78

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Solution

The fourth proportional to 277,871.06, 416,841.92 and 88,263.78 is: 132,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,871.06 : 416,841.92 = 88,263.78 : x
  2. Step 2: Convert to fraction form
    277,871.06/416,841.92 = 88,263.78/x
  3. Step 3: Cross multiply
    277,871.06x = 416,841.92 × 88,263.78
  4. Step 4: Simplify right side
    277,871.06x = 36,792,043,080.34
  5. Step 5: Solve for x
    x = 36,792,043,080.34/277,871.06
  6. Step 6: Final answer
    x = 132,406.89

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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.