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Finding the Fourth Proportional to 215,564.49, 297,475.07 and 120,069.14

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Solution

The fourth proportional to 215,564.49, 297,475.07 and 120,069.14 is: 165,693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,564.49 : 297,475.07 = 120,069.14 : x
  2. Step 2: Convert to fraction form
    215,564.49/297,475.07 = 120,069.14/x
  3. Step 3: Cross multiply
    215,564.49x = 297,475.07 × 120,069.14
  4. Step 4: Simplify right side
    215,564.49x = 35,717,573,738.62
  5. Step 5: Solve for x
    x = 35,717,573,738.62/215,564.49
  6. Step 6: Final answer
    x = 165,693.22

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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.