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Finding the Fourth Proportional to 136,378.72, 204,653.24 and 52,145.96

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Solution

The fourth proportional to 136,378.72, 204,653.24 and 52,145.96 is: 78,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,378.72 : 204,653.24 = 52,145.96 : x
  2. Step 2: Convert to fraction form
    136,378.72/204,653.24 = 52,145.96/x
  3. Step 3: Cross multiply
    136,378.72x = 204,653.24 × 52,145.96
  4. Step 4: Simplify right side
    136,378.72x = 10,671,839,666.91
  5. Step 5: Solve for x
    x = 10,671,839,666.91/136,378.72
  6. Step 6: Final answer
    x = 78,251.50

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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.