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Finding the Fourth Proportional to 266,177.61, 398,934.15 and 133,095.93

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Solution

The fourth proportional to 266,177.61, 398,934.15 and 133,095.93 is: 199,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,177.61 : 398,934.15 = 133,095.93 : x
  2. Step 2: Convert to fraction form
    266,177.61/398,934.15 = 133,095.93/x
  3. Step 3: Cross multiply
    266,177.61x = 398,934.15 × 133,095.93
  4. Step 4: Simplify right side
    266,177.61x = 53,096,511,703.01
  5. Step 5: Solve for x
    x = 53,096,511,703.01/266,177.61
  6. Step 6: Final answer
    x = 199,477.75

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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.