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Finding the Fourth Proportional to 192,510.38, 265,656.66 and 106,463.78

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Solution

The fourth proportional to 192,510.38, 265,656.66 and 106,463.78 is: 146,915.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,510.38 : 265,656.66 = 106,463.78 : x
  2. Step 2: Convert to fraction form
    192,510.38/265,656.66 = 106,463.78/x
  3. Step 3: Cross multiply
    192,510.38x = 265,656.66 × 106,463.78
  4. Step 4: Simplify right side
    192,510.38x = 28,282,812,205.77
  5. Step 5: Solve for x
    x = 28,282,812,205.77/192,510.38
  6. Step 6: Final answer
    x = 146,915.78

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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.