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Finding the Fourth Proportional to 106,643.90, 147,186.66 and 81,109.34

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Solution

The fourth proportional to 106,643.90, 147,186.66 and 81,109.34 is: 111,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,643.90 : 147,186.66 = 81,109.34 : x
  2. Step 2: Convert to fraction form
    106,643.90/147,186.66 = 81,109.34/x
  3. Step 3: Cross multiply
    106,643.90x = 147,186.66 × 81,109.34
  4. Step 4: Simplify right side
    106,643.90x = 11,938,212,849.40
  5. Step 5: Solve for x
    x = 11,938,212,849.40/106,643.90
  6. Step 6: Final answer
    x = 111,944.64

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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.