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Finding the Fourth Proportional to 100,113.31, 150,011.89 and 81,301.81

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Solution

The fourth proportional to 100,113.31, 150,011.89 and 81,301.81 is: 121,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,113.31 : 150,011.89 = 81,301.81 : x
  2. Step 2: Convert to fraction form
    100,113.31/150,011.89 = 81,301.81/x
  3. Step 3: Cross multiply
    100,113.31x = 150,011.89 × 81,301.81
  4. Step 4: Simplify right side
    100,113.31x = 12,196,238,178.52
  5. Step 5: Solve for x
    x = 12,196,238,178.52/100,113.31
  6. Step 6: Final answer
    x = 121,824.34

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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.