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Finding the Fourth Proportional to 242,847.74, 364,315.45 and 109,790.66

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Solution

The fourth proportional to 242,847.74, 364,315.45 and 109,790.66 is: 164,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,847.74 : 364,315.45 = 109,790.66 : x
  2. Step 2: Convert to fraction form
    242,847.74/364,315.45 = 109,790.66/x
  3. Step 3: Cross multiply
    242,847.74x = 364,315.45 × 109,790.66
  4. Step 4: Simplify right side
    242,847.74x = 39,998,433,703.70
  5. Step 5: Solve for x
    x = 39,998,433,703.70/242,847.74
  6. Step 6: Final answer
    x = 164,705.81

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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.