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Finding the Fourth Proportional to 136,782.14, 205,179.08 and 42,016.10

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Solution

The fourth proportional to 136,782.14, 205,179.08 and 42,016.10 is: 63,025.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,782.14 : 205,179.08 = 42,016.10 : x
  2. Step 2: Convert to fraction form
    136,782.14/205,179.08 = 42,016.10/x
  3. Step 3: Cross multiply
    136,782.14x = 205,179.08 × 42,016.10
  4. Step 4: Simplify right side
    136,782.14x = 8,620,823,507.21
  5. Step 5: Solve for x
    x = 8,620,823,507.21/136,782.14
  6. Step 6: Final answer
    x = 63,025.95

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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.