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Finding the Fourth Proportional to 106,442, 146,891.04 and 64,001.24

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Solution

The fourth proportional to 106,442, 146,891.04 and 64,001.24 is: 88,322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,442 : 146,891.04 = 64,001.24 : x
  2. Step 2: Convert to fraction form
    106,442/146,891.04 = 64,001.24/x
  3. Step 3: Cross multiply
    106,442x = 146,891.04 × 64,001.24
  4. Step 4: Simplify right side
    106,442x = 9,401,208,704.89
  5. Step 5: Solve for x
    x = 9,401,208,704.89/106,442
  6. Step 6: Final answer
    x = 88,322.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.