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Finding the Fourth Proportional to 242,697.36, 364,234.01 and 195,428.20

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Solution

The fourth proportional to 242,697.36, 364,234.01 and 195,428.20 is: 293,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,697.36 : 364,234.01 = 195,428.20 : x
  2. Step 2: Convert to fraction form
    242,697.36/364,234.01 = 195,428.20/x
  3. Step 3: Cross multiply
    242,697.36x = 364,234.01 × 195,428.20
  4. Step 4: Simplify right side
    242,697.36x = 71,181,594,154.77
  5. Step 5: Solve for x
    x = 71,181,594,154.77/242,697.36
  6. Step 6: Final answer
    x = 293,293.65

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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.