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Finding the Fourth Proportional to 167,167.84, 230,494.10 and 136,841.44

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Solution

The fourth proportional to 167,167.84, 230,494.10 and 136,841.44 is: 188,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,167.84 : 230,494.10 = 136,841.44 : x
  2. Step 2: Convert to fraction form
    167,167.84/230,494.10 = 136,841.44/x
  3. Step 3: Cross multiply
    167,167.84x = 230,494.10 × 136,841.44
  4. Step 4: Simplify right side
    167,167.84x = 31,541,144,555.50
  5. Step 5: Solve for x
    x = 31,541,144,555.50/167,167.84
  6. Step 6: Final answer
    x = 188,679.50

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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.