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Finding the Fourth Proportional to 215,904.80, 297,948.08 and 120,411.60

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Solution

The fourth proportional to 215,904.80, 297,948.08 and 120,411.60 is: 166,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,904.80 : 297,948.08 = 120,411.60 : x
  2. Step 2: Convert to fraction form
    215,904.80/297,948.08 = 120,411.60/x
  3. Step 3: Cross multiply
    215,904.80x = 297,948.08 × 120,411.60
  4. Step 4: Simplify right side
    215,904.80x = 35,876,405,029.73
  5. Step 5: Solve for x
    x = 35,876,405,029.73/215,904.80
  6. Step 6: Final answer
    x = 166,167.70

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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.