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Finding the Fourth Proportional to 299,110.50, 412,781.13 and 164,983.14

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Solution

The fourth proportional to 299,110.50, 412,781.13 and 164,983.14 is: 227,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,110.50 : 412,781.13 = 164,983.14 : x
  2. Step 2: Convert to fraction form
    299,110.50/412,781.13 = 164,983.14/x
  3. Step 3: Cross multiply
    299,110.50x = 412,781.13 × 164,983.14
  4. Step 4: Simplify right side
    299,110.50x = 68,101,926,960.15
  5. Step 5: Solve for x
    x = 68,101,926,960.15/299,110.50
  6. Step 6: Final answer
    x = 227,681.50

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1.5x scale

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.