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Finding the Fourth Proportional to 200,039.10, 276,080.07 and 115,159.74

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Solution

The fourth proportional to 200,039.10, 276,080.07 and 115,159.74 is: 158,935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,039.10 : 276,080.07 = 115,159.74 : x
  2. Step 2: Convert to fraction form
    200,039.10/276,080.07 = 115,159.74/x
  3. Step 3: Cross multiply
    200,039.10x = 276,080.07 × 115,159.74
  4. Step 4: Simplify right side
    200,039.10x = 31,793,309,080.38
  5. Step 5: Solve for x
    x = 31,793,309,080.38/200,039.10
  6. Step 6: Final answer
    x = 158,935.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.