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Finding the Fourth Proportional to 178,472.16, 246,299.28 and 106,838.28

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Solution

The fourth proportional to 178,472.16, 246,299.28 and 106,838.28 is: 147,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,472.16 : 246,299.28 = 106,838.28 : x
  2. Step 2: Convert to fraction form
    178,472.16/246,299.28 = 106,838.28/x
  3. Step 3: Cross multiply
    178,472.16x = 246,299.28 × 106,838.28
  4. Step 4: Simplify right side
    178,472.16x = 26,314,191,440.44
  5. Step 5: Solve for x
    x = 26,314,191,440.44/178,472.16
  6. Step 6: Final answer
    x = 147,441.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.