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Finding the Fourth Proportional to 100,829.30, 151,268.85 and 41,681.88

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Solution

The fourth proportional to 100,829.30, 151,268.85 and 41,681.88 is: 62,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,829.30 : 151,268.85 = 41,681.88 : x
  2. Step 2: Convert to fraction form
    100,829.30/151,268.85 = 41,681.88/x
  3. Step 3: Cross multiply
    100,829.30x = 151,268.85 × 41,681.88
  4. Step 4: Simplify right side
    100,829.30x = 6,305,170,053.44
  5. Step 5: Solve for x
    x = 6,305,170,053.44/100,829.30
  6. Step 6: Final answer
    x = 62,533.12

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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.