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Finding the Fourth Proportional to 106,952.42, 147,588 and 59,202.92

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Solution

The fourth proportional to 106,952.42, 147,588 and 59,202.92 is: 81,696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,952.42 : 147,588 = 59,202.92 : x
  2. Step 2: Convert to fraction form
    106,952.42/147,588 = 59,202.92/x
  3. Step 3: Cross multiply
    106,952.42x = 147,588 × 59,202.92
  4. Step 4: Simplify right side
    106,952.42x = 8,737,640,556.96
  5. Step 5: Solve for x
    x = 8,737,640,556.96/106,952.42
  6. Step 6: Final answer
    x = 81,696.52

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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.