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Finding the Fourth Proportional to 206,145.87, 284,462.04 and 115,482.60

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Solution

The fourth proportional to 206,145.87, 284,462.04 and 115,482.60 is: 159,355.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,145.87 : 284,462.04 = 115,482.60 : x
  2. Step 2: Convert to fraction form
    206,145.87/284,462.04 = 115,482.60/x
  3. Step 3: Cross multiply
    206,145.87x = 284,462.04 × 115,482.60
  4. Step 4: Simplify right side
    206,145.87x = 32,850,415,980.50
  5. Step 5: Solve for x
    x = 32,850,415,980.50/206,145.87
  6. Step 6: Final answer
    x = 159,355.20

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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.