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Finding the Fourth Proportional to 143,784, 198,419.24 and 78,373.38

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Solution

The fourth proportional to 143,784, 198,419.24 and 78,373.38 is: 108,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,784 : 198,419.24 = 78,373.38 : x
  2. Step 2: Convert to fraction form
    143,784/198,419.24 = 78,373.38/x
  3. Step 3: Cross multiply
    143,784x = 198,419.24 × 78,373.38
  4. Step 4: Simplify right side
    143,784x = 15,550,786,495.83
  5. Step 5: Solve for x
    x = 15,550,786,495.83/143,784
  6. Step 6: Final answer
    x = 108,153.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.