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Finding the Fourth Proportional to 106,896.30, 147,712.14 and 101,708.34

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Solution

The fourth proportional to 106,896.30, 147,712.14 and 101,708.34 is: 140,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,896.30 : 147,712.14 = 101,708.34 : x
  2. Step 2: Convert to fraction form
    106,896.30/147,712.14 = 101,708.34/x
  3. Step 3: Cross multiply
    106,896.30x = 147,712.14 × 101,708.34
  4. Step 4: Simplify right side
    106,896.30x = 15,023,556,557.25
  5. Step 5: Solve for x
    x = 15,023,556,557.25/106,896.30
  6. Step 6: Final answer
    x = 140,543.28

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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.