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Finding the Fourth Proportional to 133,306.82, 199,919.84 and 70,092.88

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Solution

The fourth proportional to 133,306.82, 199,919.84 and 70,092.88 is: 105,118.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,306.82 : 199,919.84 = 70,092.88 : x
  2. Step 2: Convert to fraction form
    133,306.82/199,919.84 = 70,092.88/x
  3. Step 3: Cross multiply
    133,306.82x = 199,919.84 × 70,092.88
  4. Step 4: Simplify right side
    133,306.82x = 14,012,957,354.74
  5. Step 5: Solve for x
    x = 14,012,957,354.74/133,306.82
  6. Step 6: Final answer
    x = 105,118.08

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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.