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Finding the Fourth Proportional to 133,282.72, 199,934.40 and 44,536.53

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Solution

The fourth proportional to 133,282.72, 199,934.40 and 44,536.53 is: 66,808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,282.72 : 199,934.40 = 44,536.53 : x
  2. Step 2: Convert to fraction form
    133,282.72/199,934.40 = 44,536.53/x
  3. Step 3: Cross multiply
    133,282.72x = 199,934.40 × 44,536.53
  4. Step 4: Simplify right side
    133,282.72x = 8,904,384,403.63
  5. Step 5: Solve for x
    x = 8,904,384,403.63/133,282.72
  6. Step 6: Final answer
    x = 66,808.24

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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.