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Finding the Fourth Proportional to 277,795.28, 416,770.68 and 88,242.32

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Solution

The fourth proportional to 277,795.28, 416,770.68 and 88,242.32 is: 132,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,795.28 : 416,770.68 = 88,242.32 : x
  2. Step 2: Convert to fraction form
    277,795.28/416,770.68 = 88,242.32/x
  3. Step 3: Cross multiply
    277,795.28x = 416,770.68 × 88,242.32
  4. Step 4: Simplify right side
    277,795.28x = 36,776,811,711.18
  5. Step 5: Solve for x
    x = 36,776,811,711.18/277,795.28
  6. Step 6: Final answer
    x = 132,388.18

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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.