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Finding the Fourth Proportional to 142,574.53, 196,750.47 and 78,910.96

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Solution

The fourth proportional to 142,574.53, 196,750.47 and 78,910.96 is: 108,895.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,574.53 : 196,750.47 = 78,910.96 : x
  2. Step 2: Convert to fraction form
    142,574.53/196,750.47 = 78,910.96/x
  3. Step 3: Cross multiply
    142,574.53x = 196,750.47 × 78,910.96
  4. Step 4: Simplify right side
    142,574.53x = 15,525,768,468.15
  5. Step 5: Solve for x
    x = 15,525,768,468.15/142,574.53
  6. Step 6: Final answer
    x = 108,895.81

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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.