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Finding the Fourth Proportional to 200,873.34, 301,195.82 and 155,264.92

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Solution

The fourth proportional to 200,873.34, 301,195.82 and 155,264.92 is: 232,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,873.34 : 301,195.82 = 155,264.92 : x
  2. Step 2: Convert to fraction form
    200,873.34/301,195.82 = 155,264.92/x
  3. Step 3: Cross multiply
    200,873.34x = 301,195.82 × 155,264.92
  4. Step 4: Simplify right side
    200,873.34x = 46,765,144,896.63
  5. Step 5: Solve for x
    x = 46,765,144,896.63/200,873.34
  6. Step 6: Final answer
    x = 232,809.12

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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.