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Finding the Fourth Proportional to 106,921.78, 160,063.12 and 64,674.01

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Solution

The fourth proportional to 106,921.78, 160,063.12 and 64,674.01 is: 96,817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,921.78 : 160,063.12 = 64,674.01 : x
  2. Step 2: Convert to fraction form
    106,921.78/160,063.12 = 64,674.01/x
  3. Step 3: Cross multiply
    106,921.78x = 160,063.12 × 64,674.01
  4. Step 4: Simplify right side
    106,921.78x = 10,351,923,823.51
  5. Step 5: Solve for x
    x = 10,351,923,823.51/106,921.78
  6. Step 6: Final answer
    x = 96,817.73

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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.