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Finding the Fourth Proportional to 201,506.04, 278,080.65 and 115,463.31

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Solution

The fourth proportional to 201,506.04, 278,080.65 and 115,463.31 is: 159,340.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,506.04 : 278,080.65 = 115,463.31 : x
  2. Step 2: Convert to fraction form
    201,506.04/278,080.65 = 115,463.31/x
  3. Step 3: Cross multiply
    201,506.04x = 278,080.65 × 115,463.31
  4. Step 4: Simplify right side
    201,506.04x = 32,108,112,295.95
  5. Step 5: Solve for x
    x = 32,108,112,295.95/201,506.04
  6. Step 6: Final answer
    x = 159,340.69

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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.