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Finding the Fourth Proportional to 200,731.80, 301,097.70 and 137,746.20

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Solution

The fourth proportional to 200,731.80, 301,097.70 and 137,746.20 is: 206,619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,731.80 : 301,097.70 = 137,746.20 : x
  2. Step 2: Convert to fraction form
    200,731.80/301,097.70 = 137,746.20/x
  3. Step 3: Cross multiply
    200,731.80x = 301,097.70 × 137,746.20
  4. Step 4: Simplify right side
    200,731.80x = 41,475,064,003.74
  5. Step 5: Solve for x
    x = 41,475,064,003.74/200,731.80
  6. Step 6: Final answer
    x = 206,619.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.