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Finding the Fourth Proportional to 100,320.42, 138,443.73 and 55,002.74

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Solution

The fourth proportional to 100,320.42, 138,443.73 and 55,002.74 is: 75,904.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,320.42 : 138,443.73 = 55,002.74 : x
  2. Step 2: Convert to fraction form
    100,320.42/138,443.73 = 55,002.74/x
  3. Step 3: Cross multiply
    100,320.42x = 138,443.73 × 55,002.74
  4. Step 4: Simplify right side
    100,320.42x = 7,614,784,485.82
  5. Step 5: Solve for x
    x = 7,614,784,485.82/100,320.42
  6. Step 6: Final answer
    x = 75,904.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.