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Finding the Fourth Proportional to 106,867.92, 147,368.52 and 71,063.76

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Solution

The fourth proportional to 106,867.92, 147,368.52 and 71,063.76 is: 97,995.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,867.92 : 147,368.52 = 71,063.76 : x
  2. Step 2: Convert to fraction form
    106,867.92/147,368.52 = 71,063.76/x
  3. Step 3: Cross multiply
    106,867.92x = 147,368.52 × 71,063.76
  4. Step 4: Simplify right side
    106,867.92x = 10,472,561,136.84
  5. Step 5: Solve for x
    x = 10,472,561,136.84/106,867.92
  6. Step 6: Final answer
    x = 97,995.37

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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.