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Finding the Fourth Proportional to 192,902.64, 266,275.50 and 157,030.38

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Solution

The fourth proportional to 192,902.64, 266,275.50 and 157,030.38 is: 216,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,902.64 : 266,275.50 = 157,030.38 : x
  2. Step 2: Convert to fraction form
    192,902.64/266,275.50 = 157,030.38/x
  3. Step 3: Cross multiply
    192,902.64x = 266,275.50 × 157,030.38
  4. Step 4: Simplify right side
    192,902.64x = 41,813,342,949.69
  5. Step 5: Solve for x
    x = 41,813,342,949.69/192,902.64
  6. Step 6: Final answer
    x = 216,758.79

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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.