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Finding the Fourth Proportional to 212,965.36, 319,199.64 and 160,205.20

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Solution

The fourth proportional to 212,965.36, 319,199.64 and 160,205.20 is: 240,120.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,965.36 : 319,199.64 = 160,205.20 : x
  2. Step 2: Convert to fraction form
    212,965.36/319,199.64 = 160,205.20/x
  3. Step 3: Cross multiply
    212,965.36x = 319,199.64 × 160,205.20
  4. Step 4: Simplify right side
    212,965.36x = 51,137,442,166.13
  5. Step 5: Solve for x
    x = 51,137,442,166.13/212,965.36
  6. Step 6: Final answer
    x = 240,120.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.