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Finding the Fourth Proportional to 160,689.40, 241,034.10 and 135,028.60

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Solution

The fourth proportional to 160,689.40, 241,034.10 and 135,028.60 is: 202,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,689.40 : 241,034.10 = 135,028.60 : x
  2. Step 2: Convert to fraction form
    160,689.40/241,034.10 = 135,028.60/x
  3. Step 3: Cross multiply
    160,689.40x = 241,034.10 × 135,028.60
  4. Step 4: Simplify right side
    160,689.40x = 32,546,497,075.26
  5. Step 5: Solve for x
    x = 32,546,497,075.26/160,689.40
  6. Step 6: Final answer
    x = 202,542.90

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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.