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Finding the Fourth Proportional to 136,129.50, 204,201.54 and 42,642.54

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Solution

The fourth proportional to 136,129.50, 204,201.54 and 42,642.54 is: 63,966.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,129.50 : 204,201.54 = 42,642.54 : x
  2. Step 2: Convert to fraction form
    136,129.50/204,201.54 = 42,642.54/x
  3. Step 3: Cross multiply
    136,129.50x = 204,201.54 × 42,642.54
  4. Step 4: Simplify right side
    136,129.50x = 8,707,672,337.51
  5. Step 5: Solve for x
    x = 8,707,672,337.51/136,129.50
  6. Step 6: Final answer
    x = 63,966.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.