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Finding the Fourth Proportional to 266,426.64, 367,664.44 and 145,565.32

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Solution

The fourth proportional to 266,426.64, 367,664.44 and 145,565.32 is: 200,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,426.64 : 367,664.44 = 145,565.32 : x
  2. Step 2: Convert to fraction form
    266,426.64/367,664.44 = 145,565.32/x
  3. Step 3: Cross multiply
    266,426.64x = 367,664.44 × 145,565.32
  4. Step 4: Simplify right side
    266,426.64x = 53,519,191,861.22
  5. Step 5: Solve for x
    x = 53,519,191,861.22/266,426.64
  6. Step 6: Final answer
    x = 200,877.78

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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.