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Finding the Fourth Proportional to 277,715.87, 416,293.28 and 109,354.34

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Solution

The fourth proportional to 277,715.87, 416,293.28 and 109,354.34 is: 163,921.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,715.87 : 416,293.28 = 109,354.34 : x
  2. Step 2: Convert to fraction form
    277,715.87/416,293.28 = 109,354.34/x
  3. Step 3: Cross multiply
    277,715.87x = 416,293.28 × 109,354.34
  4. Step 4: Simplify right side
    277,715.87x = 45,523,474,252.60
  5. Step 5: Solve for x
    x = 45,523,474,252.60/277,715.87
  6. Step 6: Final answer
    x = 163,921.04

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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.