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Finding the Fourth Proportional to 200,887.84, 299,556.89 and 199,084.78

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Solution

The fourth proportional to 200,887.84, 299,556.89 and 199,084.78 is: 296,868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,887.84 : 299,556.89 = 199,084.78 : x
  2. Step 2: Convert to fraction form
    200,887.84/299,556.89 = 199,084.78/x
  3. Step 3: Cross multiply
    200,887.84x = 299,556.89 × 199,084.78
  4. Step 4: Simplify right side
    200,887.84x = 59,637,217,543.13
  5. Step 5: Solve for x
    x = 59,637,217,543.13/200,887.84
  6. Step 6: Final answer
    x = 296,868.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.