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Finding the Fourth Proportional to 106,395.84, 146,826.74 and 58,648.16

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Solution

The fourth proportional to 106,395.84, 146,826.74 and 58,648.16 is: 80,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,395.84 : 146,826.74 = 58,648.16 : x
  2. Step 2: Convert to fraction form
    106,395.84/146,826.74 = 58,648.16/x
  3. Step 3: Cross multiply
    106,395.84x = 146,826.74 × 58,648.16
  4. Step 4: Simplify right side
    106,395.84x = 8,611,118,139.80
  5. Step 5: Solve for x
    x = 8,611,118,139.80/106,395.84
  6. Step 6: Final answer
    x = 80,934.73

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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.