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Finding the Fourth Proportional to 99,824.72, 137,725.02 and 65,850.08

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Solution

The fourth proportional to 99,824.72, 137,725.02 and 65,850.08 is: 90,851.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,824.72 : 137,725.02 = 65,850.08 : x
  2. Step 2: Convert to fraction form
    99,824.72/137,725.02 = 65,850.08/x
  3. Step 3: Cross multiply
    99,824.72x = 137,725.02 × 65,850.08
  4. Step 4: Simplify right side
    99,824.72x = 9,069,202,896.38
  5. Step 5: Solve for x
    x = 9,069,202,896.38/99,824.72
  6. Step 6: Final answer
    x = 90,851.28

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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.