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Finding the Fourth Proportional to 206,814.90, 310,222.35 and 135,956.10

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Solution

The fourth proportional to 206,814.90, 310,222.35 and 135,956.10 is: 203,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,814.90 : 310,222.35 = 135,956.10 : x
  2. Step 2: Convert to fraction form
    206,814.90/310,222.35 = 135,956.10/x
  3. Step 3: Cross multiply
    206,814.90x = 310,222.35 × 135,956.10
  4. Step 4: Simplify right side
    206,814.90x = 42,176,620,838.84
  5. Step 5: Solve for x
    x = 42,176,620,838.84/206,814.90
  6. Step 6: Final answer
    x = 203,934.15

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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.