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Finding the Fourth Proportional to 101,265.68, 151,936.80 and 42,096.38

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Solution

The fourth proportional to 101,265.68, 151,936.80 and 42,096.38 is: 63,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,265.68 : 151,936.80 = 42,096.38 : x
  2. Step 2: Convert to fraction form
    101,265.68/151,936.80 = 42,096.38/x
  3. Step 3: Cross multiply
    101,265.68x = 151,936.80 × 42,096.38
  4. Step 4: Simplify right side
    101,265.68x = 6,395,989,268.78
  5. Step 5: Solve for x
    x = 6,395,989,268.78/101,265.68
  6. Step 6: Final answer
    x = 63,160.48

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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.