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Finding the Fourth Proportional to 106,398.57, 146,889.99 and 70,637.46

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Solution

The fourth proportional to 106,398.57, 146,889.99 and 70,637.46 is: 97,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,398.57 : 146,889.99 = 70,637.46 : x
  2. Step 2: Convert to fraction form
    106,398.57/146,889.99 = 70,637.46/x
  3. Step 3: Cross multiply
    106,398.57x = 146,889.99 × 70,637.46
  4. Step 4: Simplify right side
    106,398.57x = 10,375,935,793.03
  5. Step 5: Solve for x
    x = 10,375,935,793.03/106,398.57
  6. Step 6: Final answer
    x = 97,519.50

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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.