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Finding the Fourth Proportional to 200,773.17, 301,105.28 and 86,960.07

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Solution

The fourth proportional to 200,773.17, 301,105.28 and 86,960.07 is: 130,416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,773.17 : 301,105.28 = 86,960.07 : x
  2. Step 2: Convert to fraction form
    200,773.17/301,105.28 = 86,960.07/x
  3. Step 3: Cross multiply
    200,773.17x = 301,105.28 × 86,960.07
  4. Step 4: Simplify right side
    200,773.17x = 26,184,136,443.57
  5. Step 5: Solve for x
    x = 26,184,136,443.57/200,773.17
  6. Step 6: Final answer
    x = 130,416.51

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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.