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Finding the Fourth Proportional to 215,005.39, 296,748.56 and 142,409.14

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Solution

The fourth proportional to 215,005.39, 296,748.56 and 142,409.14 is: 196,551.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,005.39 : 296,748.56 = 142,409.14 : x
  2. Step 2: Convert to fraction form
    215,005.39/296,748.56 = 142,409.14/x
  3. Step 3: Cross multiply
    215,005.39x = 296,748.56 × 142,409.14
  4. Step 4: Simplify right side
    215,005.39x = 42,259,706,839.99
  5. Step 5: Solve for x
    x = 42,259,706,839.99/215,005.39
  6. Step 6: Final answer
    x = 196,551.85

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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.