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Finding the Fourth Proportional to 207,845.84, 286,638.96 and 136,199.84

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Solution

The fourth proportional to 207,845.84, 286,638.96 and 136,199.84 is: 187,832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,845.84 : 286,638.96 = 136,199.84 : x
  2. Step 2: Convert to fraction form
    207,845.84/286,638.96 = 136,199.84/x
  3. Step 3: Cross multiply
    207,845.84x = 286,638.96 × 136,199.84
  4. Step 4: Simplify right side
    207,845.84x = 39,040,180,489.77
  5. Step 5: Solve for x
    x = 39,040,180,489.77/207,845.84
  6. Step 6: Final answer
    x = 187,832.39

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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.