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Finding the Fourth Proportional to 242,815.16, 334,322.42 and 206,445.08

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Solution

The fourth proportional to 242,815.16, 334,322.42 and 206,445.08 is: 284,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,815.16 : 334,322.42 = 206,445.08 : x
  2. Step 2: Convert to fraction form
    242,815.16/334,322.42 = 206,445.08/x
  3. Step 3: Cross multiply
    242,815.16x = 334,322.42 × 206,445.08
  4. Step 4: Simplify right side
    242,815.16x = 69,019,218,546.27
  5. Step 5: Solve for x
    x = 69,019,218,546.27/242,815.16
  6. Step 6: Final answer
    x = 284,245.92

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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.