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Finding the Fourth Proportional to 102,136.44, 153,264.60 and 42,967.56

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Solution

The fourth proportional to 102,136.44, 153,264.60 and 42,967.56 is: 64,476.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,136.44 : 153,264.60 = 42,967.56 : x
  2. Step 2: Convert to fraction form
    102,136.44/153,264.60 = 42,967.56/x
  3. Step 3: Cross multiply
    102,136.44x = 153,264.60 × 42,967.56
  4. Step 4: Simplify right side
    102,136.44x = 6,585,405,896.38
  5. Step 5: Solve for x
    x = 6,585,405,896.38/102,136.44
  6. Step 6: Final answer
    x = 64,476.56

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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.