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Finding the Fourth Proportional to 266,849.64, 400,273.47 and 106,997.04

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Solution

The fourth proportional to 266,849.64, 400,273.47 and 106,997.04 is: 160,495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,849.64 : 400,273.47 = 106,997.04 : x
  2. Step 2: Convert to fraction form
    266,849.64/400,273.47 = 106,997.04/x
  3. Step 3: Cross multiply
    266,849.64x = 400,273.47 × 106,997.04
  4. Step 4: Simplify right side
    266,849.64x = 42,828,076,480.53
  5. Step 5: Solve for x
    x = 42,828,076,480.53/266,849.64
  6. Step 6: Final answer
    x = 160,495.16

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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.