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Finding the Fourth Proportional to 102,168.69, 140,993.49 and 56,848.58

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Solution

The fourth proportional to 102,168.69, 140,993.49 and 56,848.58 is: 78,451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,168.69 : 140,993.49 = 56,848.58 : x
  2. Step 2: Convert to fraction form
    102,168.69/140,993.49 = 56,848.58/x
  3. Step 3: Cross multiply
    102,168.69x = 140,993.49 × 56,848.58
  4. Step 4: Simplify right side
    102,168.69x = 8,015,280,048.23
  5. Step 5: Solve for x
    x = 8,015,280,048.23/102,168.69
  6. Step 6: Final answer
    x = 78,451.43

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1.5x scale

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.