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Finding the Fourth Proportional to 215,642, 297,591.72 and 120,152.72

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Solution

The fourth proportional to 215,642, 297,591.72 and 120,152.72 is: 165,813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,642 : 297,591.72 = 120,152.72 : x
  2. Step 2: Convert to fraction form
    215,642/297,591.72 = 120,152.72/x
  3. Step 3: Cross multiply
    215,642x = 297,591.72 × 120,152.72
  4. Step 4: Simplify right side
    215,642x = 35,756,454,607.48
  5. Step 5: Solve for x
    x = 35,756,454,607.48/215,642
  6. Step 6: Final answer
    x = 165,813.96

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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.