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Finding the Fourth Proportional to 136,174.44, 204,268.14 and 42,681

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Solution

The fourth proportional to 136,174.44, 204,268.14 and 42,681 is: 64,023.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,174.44 : 204,268.14 = 42,681 : x
  2. Step 2: Convert to fraction form
    136,174.44/204,268.14 = 42,681/x
  3. Step 3: Cross multiply
    136,174.44x = 204,268.14 × 42,681
  4. Step 4: Simplify right side
    136,174.44x = 8,718,368,483.34
  5. Step 5: Solve for x
    x = 8,718,368,483.34/136,174.44
  6. Step 6: Final answer
    x = 64,023.53

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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.