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Finding the Fourth Proportional to 266,443.86, 367,695.10 and 145,585.14

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Solution

The fourth proportional to 266,443.86, 367,695.10 and 145,585.14 is: 200,908.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,443.86 : 367,695.10 = 145,585.14 : x
  2. Step 2: Convert to fraction form
    266,443.86/367,695.10 = 145,585.14/x
  3. Step 3: Cross multiply
    266,443.86x = 367,695.10 × 145,585.14
  4. Step 4: Simplify right side
    266,443.86x = 53,530,942,610.81
  5. Step 5: Solve for x
    x = 53,530,942,610.81/266,443.86
  6. Step 6: Final answer
    x = 200,908.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.