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Finding the Fourth Proportional to 149,897.07, 206,857.98 and 82,829.07

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Solution

The fourth proportional to 149,897.07, 206,857.98 and 82,829.07 is: 114,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,897.07 : 206,857.98 = 82,829.07 : x
  2. Step 2: Convert to fraction form
    149,897.07/206,857.98 = 82,829.07/x
  3. Step 3: Cross multiply
    149,897.07x = 206,857.98 × 82,829.07
  4. Step 4: Simplify right side
    149,897.07x = 17,133,854,105.48
  5. Step 5: Solve for x
    x = 17,133,854,105.48/149,897.07
  6. Step 6: Final answer
    x = 114,304.13

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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.