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Finding the Fourth Proportional to 142,148.44, 196,166.10 and 78,491.08

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Solution

The fourth proportional to 142,148.44, 196,166.10 and 78,491.08 is: 108,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,148.44 : 196,166.10 = 78,491.08 : x
  2. Step 2: Convert to fraction form
    142,148.44/196,166.10 = 78,491.08/x
  3. Step 3: Cross multiply
    142,148.44x = 196,166.10 × 78,491.08
  4. Step 4: Simplify right side
    142,148.44x = 15,397,289,048.39
  5. Step 5: Solve for x
    x = 15,397,289,048.39/142,148.44
  6. Step 6: Final answer
    x = 108,318.38

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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.