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Finding the Fourth Proportional to 106,920.78, 160,061.63 and 64,673.01

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Solution

The fourth proportional to 106,920.78, 160,061.63 and 64,673.01 is: 96,816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,920.78 : 160,061.63 = 64,673.01 : x
  2. Step 2: Convert to fraction form
    106,920.78/160,061.63 = 64,673.01/x
  3. Step 3: Cross multiply
    106,920.78x = 160,061.63 × 64,673.01
  4. Step 4: Simplify right side
    106,920.78x = 10,351,667,074.24
  5. Step 5: Solve for x
    x = 10,351,667,074.24/106,920.78
  6. Step 6: Final answer
    x = 96,816.23

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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.