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Finding the Fourth Proportional to 266,103.75, 367,223.19 and 181,368.84

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Solution

The fourth proportional to 266,103.75, 367,223.19 and 181,368.84 is: 250,289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,103.75 : 367,223.19 = 181,368.84 : x
  2. Step 2: Convert to fraction form
    266,103.75/367,223.19 = 181,368.84/x
  3. Step 3: Cross multiply
    266,103.75x = 367,223.19 × 181,368.84
  4. Step 4: Simplify right side
    266,103.75x = 66,602,843,991.40
  5. Step 5: Solve for x
    x = 66,602,843,991.40/266,103.75
  6. Step 6: Final answer
    x = 250,289.01

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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.