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Finding the Fourth Proportional to 215,706.24, 297,666.36 and 120,208.32

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Solution

The fourth proportional to 215,706.24, 297,666.36 and 120,208.32 is: 165,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,706.24 : 297,666.36 = 120,208.32 : x
  2. Step 2: Convert to fraction form
    215,706.24/297,666.36 = 120,208.32/x
  3. Step 3: Cross multiply
    215,706.24x = 297,666.36 × 120,208.32
  4. Step 4: Simplify right side
    215,706.24x = 35,781,973,056.12
  5. Step 5: Solve for x
    x = 35,781,973,056.12/215,706.24
  6. Step 6: Final answer
    x = 165,882.88

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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.