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Finding the Fourth Proportional to 106,900.70, 147,520.86 and 59,156.06

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Solution

The fourth proportional to 106,900.70, 147,520.86 and 59,156.06 is: 81,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,900.70 : 147,520.86 = 59,156.06 : x
  2. Step 2: Convert to fraction form
    106,900.70/147,520.86 = 59,156.06/x
  3. Step 3: Cross multiply
    106,900.70x = 147,520.86 × 59,156.06
  4. Step 4: Simplify right side
    106,900.70x = 8,726,752,845.41
  5. Step 5: Solve for x
    x = 8,726,752,845.41/106,900.70
  6. Step 6: Final answer
    x = 81,634.20

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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.