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Finding the Fourth Proportional to 266,596.80, 367,904.31 and 145,739.52

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Solution

The fourth proportional to 266,596.80, 367,904.31 and 145,739.52 is: 201,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,596.80 : 367,904.31 = 145,739.52 : x
  2. Step 2: Convert to fraction form
    266,596.80/367,904.31 = 145,739.52/x
  3. Step 3: Cross multiply
    266,596.80x = 367,904.31 × 145,739.52
  4. Step 4: Simplify right side
    266,596.80x = 53,618,197,545.33
  5. Step 5: Solve for x
    x = 53,618,197,545.33/266,596.80
  6. Step 6: Final answer
    x = 201,120.93

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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.