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Finding the Fourth Proportional to 277,871.56, 416,842.66 and 88,264.28

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Solution

The fourth proportional to 277,871.56, 416,842.66 and 88,264.28 is: 132,407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,871.56 : 416,842.66 = 88,264.28 : x
  2. Step 2: Convert to fraction form
    277,871.56/416,842.66 = 88,264.28/x
  3. Step 3: Cross multiply
    277,871.56x = 416,842.66 × 88,264.28
  4. Step 4: Simplify right side
    277,871.56x = 36,792,317,258.18
  5. Step 5: Solve for x
    x = 36,792,317,258.18/277,871.56
  6. Step 6: Final answer
    x = 132,407.64

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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.