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Finding the Fourth Proportional to 266,012.94, 398,794.86 and 123,784.68

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Solution

The fourth proportional to 266,012.94, 398,794.86 and 123,784.68 is: 185,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,012.94 : 398,794.86 = 123,784.68 : x
  2. Step 2: Convert to fraction form
    266,012.94/398,794.86 = 123,784.68/x
  3. Step 3: Cross multiply
    266,012.94x = 398,794.86 × 123,784.68
  4. Step 4: Simplify right side
    266,012.94x = 49,364,694,130.74
  5. Step 5: Solve for x
    x = 49,364,694,130.74/266,012.94
  6. Step 6: Final answer
    x = 185,572.53

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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.