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Finding the Fourth Proportional to 201,582.32, 278,195.10 and 115,555.64

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Solution

The fourth proportional to 201,582.32, 278,195.10 and 115,555.64 is: 159,473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,582.32 : 278,195.10 = 115,555.64 : x
  2. Step 2: Convert to fraction form
    201,582.32/278,195.10 = 115,555.64/x
  3. Step 3: Cross multiply
    201,582.32x = 278,195.10 × 115,555.64
  4. Step 4: Simplify right side
    201,582.32x = 32,147,012,825.36
  5. Step 5: Solve for x
    x = 32,147,012,825.36/201,582.32
  6. Step 6: Final answer
    x = 159,473.37

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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.