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Finding the Fourth Proportional to 293,697.40, 440,661.30 and 106,727.80

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Solution

The fourth proportional to 293,697.40, 440,661.30 and 106,727.80 is: 160,133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,697.40 : 440,661.30 = 106,727.80 : x
  2. Step 2: Convert to fraction form
    293,697.40/440,661.30 = 106,727.80/x
  3. Step 3: Cross multiply
    293,697.40x = 440,661.30 × 106,727.80
  4. Step 4: Simplify right side
    293,697.40x = 47,030,811,094.14
  5. Step 5: Solve for x
    x = 47,030,811,094.14/293,697.40
  6. Step 6: Final answer
    x = 160,133.56

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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.