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Finding the Fourth Proportional to 186,136.38, 256,868.01 and 101,253.24

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Solution

The fourth proportional to 186,136.38, 256,868.01 and 101,253.24 is: 139,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,136.38 : 256,868.01 = 101,253.24 : x
  2. Step 2: Convert to fraction form
    186,136.38/256,868.01 = 101,253.24/x
  3. Step 3: Cross multiply
    186,136.38x = 256,868.01 × 101,253.24
  4. Step 4: Simplify right side
    186,136.38x = 26,008,718,264.85
  5. Step 5: Solve for x
    x = 26,008,718,264.85/186,136.38
  6. Step 6: Final answer
    x = 139,729.37

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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.