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Finding the Fourth Proportional to 120,993.60, 181,392.32 and 54,384.96

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Solution

The fourth proportional to 120,993.60, 181,392.32 and 54,384.96 is: 81,533.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,993.60 : 181,392.32 = 54,384.96 : x
  2. Step 2: Convert to fraction form
    120,993.60/181,392.32 = 54,384.96/x
  3. Step 3: Cross multiply
    120,993.60x = 181,392.32 × 54,384.96
  4. Step 4: Simplify right side
    120,993.60x = 9,865,014,067.51
  5. Step 5: Solve for x
    x = 9,865,014,067.51/120,993.60
  6. Step 6: Final answer
    x = 81,533.35

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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.