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Finding the Fourth Proportional to 106,215.92, 146,554.44 and 61,478

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Solution

The fourth proportional to 106,215.92, 146,554.44 and 61,478 is: 84,826.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,215.92 : 146,554.44 = 61,478 : x
  2. Step 2: Convert to fraction form
    106,215.92/146,554.44 = 61,478/x
  3. Step 3: Cross multiply
    106,215.92x = 146,554.44 × 61,478
  4. Step 4: Simplify right side
    106,215.92x = 9,009,873,862.32
  5. Step 5: Solve for x
    x = 9,009,873,862.32/106,215.92
  6. Step 6: Final answer
    x = 84,826.02

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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.