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Finding the Fourth Proportional to 207,851.67, 286,644.02 and 136,205.67

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Solution

The fourth proportional to 207,851.67, 286,644.02 and 136,205.67 is: 187,838.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,851.67 : 286,644.02 = 136,205.67 : x
  2. Step 2: Convert to fraction form
    207,851.67/286,644.02 = 136,205.67/x
  3. Step 3: Cross multiply
    207,851.67x = 286,644.02 × 136,205.67
  4. Step 4: Simplify right side
    207,851.67x = 39,042,540,114.57
  5. Step 5: Solve for x
    x = 39,042,540,114.57/207,851.67
  6. Step 6: Final answer
    x = 187,838.47

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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.