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Finding the Fourth Proportional to 133,723.40, 200,585.10 and 123,585.80

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Solution

The fourth proportional to 133,723.40, 200,585.10 and 123,585.80 is: 185,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,723.40 : 200,585.10 = 123,585.80 : x
  2. Step 2: Convert to fraction form
    133,723.40/200,585.10 = 123,585.80/x
  3. Step 3: Cross multiply
    133,723.40x = 200,585.10 × 123,585.80
  4. Step 4: Simplify right side
    133,723.40x = 24,789,470,051.58
  5. Step 5: Solve for x
    x = 24,789,470,051.58/133,723.40
  6. Step 6: Final answer
    x = 185,378.70

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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.