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Finding the Fourth Proportional to 136,285, 204,429.34 and 42,790.76

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Solution

The fourth proportional to 136,285, 204,429.34 and 42,790.76 is: 64,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,285 : 204,429.34 = 42,790.76 : x
  2. Step 2: Convert to fraction form
    136,285/204,429.34 = 42,790.76/x
  3. Step 3: Cross multiply
    136,285x = 204,429.34 × 42,790.76
  4. Step 4: Simplify right side
    136,285x = 8,747,686,824.90
  5. Step 5: Solve for x
    x = 8,747,686,824.90/136,285
  6. Step 6: Final answer
    x = 64,186.72

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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.