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Finding the Fourth Proportional to 107,112.54, 160,656.66 and 27,150.15

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Solution

The fourth proportional to 107,112.54, 160,656.66 and 27,150.15 is: 40,722.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,112.54 : 160,656.66 = 27,150.15 : x
  2. Step 2: Convert to fraction form
    107,112.54/160,656.66 = 27,150.15/x
  3. Step 3: Cross multiply
    107,112.54x = 160,656.66 × 27,150.15
  4. Step 4: Simplify right side
    107,112.54x = 4,361,852,417.50
  5. Step 5: Solve for x
    x = 4,361,852,417.50/107,112.54
  6. Step 6: Final answer
    x = 40,722.15

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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.