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Finding the Fourth Proportional to 106,649.97, 160,007.97 and 64,003.02

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Solution

The fourth proportional to 106,649.97, 160,007.97 and 64,003.02 is: 96,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,649.97 : 160,007.97 = 64,003.02 : x
  2. Step 2: Convert to fraction form
    106,649.97/160,007.97 = 64,003.02/x
  3. Step 3: Cross multiply
    106,649.97x = 160,007.97 × 64,003.02
  4. Step 4: Simplify right side
    106,649.97x = 10,240,993,304.07
  5. Step 5: Solve for x
    x = 10,240,993,304.07/106,649.97
  6. Step 6: Final answer
    x = 96,024.34

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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.