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Finding the Fourth Proportional to 242,767.20, 364,064.40 and 109,711.20

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Solution

The fourth proportional to 242,767.20, 364,064.40 and 109,711.20 is: 164,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,767.20 : 364,064.40 = 109,711.20 : x
  2. Step 2: Convert to fraction form
    242,767.20/364,064.40 = 109,711.20/x
  3. Step 3: Cross multiply
    242,767.20x = 364,064.40 × 109,711.20
  4. Step 4: Simplify right side
    242,767.20x = 39,941,942,201.28
  5. Step 5: Solve for x
    x = 39,941,942,201.28/242,767.20
  6. Step 6: Final answer
    x = 164,527.75

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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.