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Finding the Fourth Proportional to 106,907.70, 147,530.52 and 59,163.06

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Solution

The fourth proportional to 106,907.70, 147,530.52 and 59,163.06 is: 81,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,907.70 : 147,530.52 = 59,163.06 : x
  2. Step 2: Convert to fraction form
    106,907.70/147,530.52 = 59,163.06/x
  3. Step 3: Cross multiply
    106,907.70x = 147,530.52 × 59,163.06
  4. Step 4: Simplify right side
    106,907.70x = 8,728,357,006.59
  5. Step 5: Solve for x
    x = 8,728,357,006.59/106,907.70
  6. Step 6: Final answer
    x = 81,643.86

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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.