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Finding the Fourth Proportional to 266,784.50, 368,165.50 and 145,923.13

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Solution

The fourth proportional to 266,784.50, 368,165.50 and 145,923.13 is: 201,375.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,784.50 : 368,165.50 = 145,923.13 : x
  2. Step 2: Convert to fraction form
    266,784.50/368,165.50 = 145,923.13/x
  3. Step 3: Cross multiply
    266,784.50x = 368,165.50 × 145,923.13
  4. Step 4: Simplify right side
    266,784.50x = 53,723,863,551.96
  5. Step 5: Solve for x
    x = 53,723,863,551.96/266,784.50
  6. Step 6: Final answer
    x = 201,375.51

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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.