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Finding the Fourth Proportional to 106,148, 159,221.28 and 27,262.28

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Solution

The fourth proportional to 106,148, 159,221.28 and 27,262.28 is: 40,893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,148 : 159,221.28 = 27,262.28 : x
  2. Step 2: Convert to fraction form
    106,148/159,221.28 = 27,262.28/x
  3. Step 3: Cross multiply
    106,148x = 159,221.28 × 27,262.28
  4. Step 4: Simplify right side
    106,148x = 4,340,735,117.32
  5. Step 5: Solve for x
    x = 4,340,735,117.32/106,148
  6. Step 6: Final answer
    x = 40,893.24

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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.