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Finding the Fourth Proportional to 277,595.56, 416,564.66 and 109,086.30

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Solution

The fourth proportional to 277,595.56, 416,564.66 and 109,086.30 is: 163,696.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,595.56 : 416,564.66 = 109,086.30 : x
  2. Step 2: Convert to fraction form
    277,595.56/416,564.66 = 109,086.30/x
  3. Step 3: Cross multiply
    277,595.56x = 416,564.66 × 109,086.30
  4. Step 4: Simplify right side
    277,595.56x = 45,441,496,924.73
  5. Step 5: Solve for x
    x = 45,441,496,924.73/277,595.56
  6. Step 6: Final answer
    x = 163,696.77

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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.