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Finding the Fourth Proportional to 200,754.16, 301,147.62 and 100,862.80

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Solution

The fourth proportional to 200,754.16, 301,147.62 and 100,862.80 is: 151,302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,754.16 : 301,147.62 = 100,862.80 : x
  2. Step 2: Convert to fraction form
    200,754.16/301,147.62 = 100,862.80/x
  3. Step 3: Cross multiply
    200,754.16x = 301,147.62 × 100,862.80
  4. Step 4: Simplify right side
    200,754.16x = 30,374,592,166.54
  5. Step 5: Solve for x
    x = 30,374,592,166.54/200,754.16
  6. Step 6: Final answer
    x = 151,302.43

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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.