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Finding the Fourth Proportional to 106,990.96, 147,645.74 and 59,243.28

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Solution

The fourth proportional to 106,990.96, 147,645.74 and 59,243.28 is: 81,754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,990.96 : 147,645.74 = 59,243.28 : x
  2. Step 2: Convert to fraction form
    106,990.96/147,645.74 = 59,243.28/x
  3. Step 3: Cross multiply
    106,990.96x = 147,645.74 × 59,243.28
  4. Step 4: Simplify right side
    106,990.96x = 8,747,017,915.63
  5. Step 5: Solve for x
    x = 8,747,017,915.63/106,990.96
  6. Step 6: Final answer
    x = 81,754.74

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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.