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Finding the Fourth Proportional to 106,472.70, 159,606.65 and 82,767.10

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Solution

The fourth proportional to 106,472.70, 159,606.65 and 82,767.10 is: 124,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,472.70 : 159,606.65 = 82,767.10 : x
  2. Step 2: Convert to fraction form
    106,472.70/159,606.65 = 82,767.10/x
  3. Step 3: Cross multiply
    106,472.70x = 159,606.65 × 82,767.10
  4. Step 4: Simplify right side
    106,472.70x = 13,210,179,561.22
  5. Step 5: Solve for x
    x = 13,210,179,561.22/106,472.70
  6. Step 6: Final answer
    x = 124,071.05

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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.