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Finding the Fourth Proportional to 266,426.68, 399,629.04 and 148,022.50

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Solution

The fourth proportional to 266,426.68, 399,629.04 and 148,022.50 is: 222,027.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,426.68 : 399,629.04 = 148,022.50 : x
  2. Step 2: Convert to fraction form
    266,426.68/399,629.04 = 148,022.50/x
  3. Step 3: Cross multiply
    266,426.68x = 399,629.04 × 148,022.50
  4. Step 4: Simplify right side
    266,426.68x = 59,154,089,573.40
  5. Step 5: Solve for x
    x = 59,154,089,573.40/266,426.68
  6. Step 6: Final answer
    x = 222,027.65

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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.