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Finding the Fourth Proportional to 266,409, 399,810.74 and 126,168.03

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Solution

The fourth proportional to 266,409, 399,810.74 and 126,168.03 is: 189,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,409 : 399,810.74 = 126,168.03 : x
  2. Step 2: Convert to fraction form
    266,409/399,810.74 = 126,168.03/x
  3. Step 3: Cross multiply
    266,409x = 399,810.74 × 126,168.03
  4. Step 4: Simplify right side
    266,409x = 50,443,332,807.80
  5. Step 5: Solve for x
    x = 50,443,332,807.80/266,409
  6. Step 6: Final answer
    x = 189,345.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.