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Finding the Fourth Proportional to 277,536.32, 415,931.52 and 144,139.04

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Solution

The fourth proportional to 277,536.32, 415,931.52 and 144,139.04 is: 216,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,536.32 : 415,931.52 = 144,139.04 : x
  2. Step 2: Convert to fraction form
    277,536.32/415,931.52 = 144,139.04/x
  3. Step 3: Cross multiply
    277,536.32x = 415,931.52 × 144,139.04
  4. Step 4: Simplify right side
    277,536.32x = 59,951,969,998.54
  5. Step 5: Solve for x
    x = 59,951,969,998.54/277,536.32
  6. Step 6: Final answer
    x = 216,014.86

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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.