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Finding the Fourth Proportional to 242,771.58, 363,519.36 and 195,133.86

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Solution

The fourth proportional to 242,771.58, 363,519.36 and 195,133.86 is: 292,187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,771.58 : 363,519.36 = 195,133.86 : x
  2. Step 2: Convert to fraction form
    242,771.58/363,519.36 = 195,133.86/x
  3. Step 3: Cross multiply
    242,771.58x = 363,519.36 × 195,133.86
  4. Step 4: Simplify right side
    242,771.58x = 70,934,935,901.53
  5. Step 5: Solve for x
    x = 70,934,935,901.53/242,771.58
  6. Step 6: Final answer
    x = 292,187.97

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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.