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Finding the Fourth Proportional to 266,053.82, 367,162.06 and 145,202.86

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Solution

The fourth proportional to 266,053.82, 367,162.06 and 145,202.86 is: 200,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,053.82 : 367,162.06 = 145,202.86 : x
  2. Step 2: Convert to fraction form
    266,053.82/367,162.06 = 145,202.86/x
  3. Step 3: Cross multiply
    266,053.82x = 367,162.06 × 145,202.86
  4. Step 4: Simplify right side
    266,053.82x = 53,312,979,551.57
  5. Step 5: Solve for x
    x = 53,312,979,551.57/266,053.82
  6. Step 6: Final answer
    x = 200,384.19

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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.