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Finding the Fourth Proportional to 99,957.03, 149,784.27 and 43,765.71

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Solution

The fourth proportional to 99,957.03, 149,784.27 and 43,765.71 is: 65,582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,957.03 : 149,784.27 = 43,765.71 : x
  2. Step 2: Convert to fraction form
    99,957.03/149,784.27 = 43,765.71/x
  3. Step 3: Cross multiply
    99,957.03x = 149,784.27 × 43,765.71
  4. Step 4: Simplify right side
    99,957.03x = 6,555,414,923.38
  5. Step 5: Solve for x
    x = 6,555,414,923.38/99,957.03
  6. Step 6: Final answer
    x = 65,582.33

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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.