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Finding the Fourth Proportional to 106,906.53, 147,530.16 and 59,162.50

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Solution

The fourth proportional to 106,906.53, 147,530.16 and 59,162.50 is: 81,643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,906.53 : 147,530.16 = 59,162.50 : x
  2. Step 2: Convert to fraction form
    106,906.53/147,530.16 = 59,162.50/x
  3. Step 3: Cross multiply
    106,906.53x = 147,530.16 × 59,162.50
  4. Step 4: Simplify right side
    106,906.53x = 8,728,253,275.41
  5. Step 5: Solve for x
    x = 8,728,253,275.41/106,906.53
  6. Step 6: Final answer
    x = 81,643.78

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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.