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Finding the Fourth Proportional to 106,395.67, 146,823.24 and 58,649.23

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Solution

The fourth proportional to 106,395.67, 146,823.24 and 58,649.23 is: 80,934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,395.67 : 146,823.24 = 58,649.23 : x
  2. Step 2: Convert to fraction form
    106,395.67/146,823.24 = 58,649.23/x
  3. Step 3: Cross multiply
    106,395.67x = 146,823.24 × 58,649.23
  4. Step 4: Simplify right side
    106,395.67x = 8,611,069,972.11
  5. Step 5: Solve for x
    x = 8,611,069,972.11/106,395.67
  6. Step 6: Final answer
    x = 80,934.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.