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Finding the Fourth Proportional to 157,184.33, 216,914.39 and 85,564.88

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Solution

The fourth proportional to 157,184.33, 216,914.39 and 85,564.88 is: 118,079.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,184.33 : 216,914.39 = 85,564.88 : x
  2. Step 2: Convert to fraction form
    157,184.33/216,914.39 = 85,564.88/x
  3. Step 3: Cross multiply
    157,184.33x = 216,914.39 × 85,564.88
  4. Step 4: Simplify right side
    157,184.33x = 18,560,252,238.23
  5. Step 5: Solve for x
    x = 18,560,252,238.23/157,184.33
  6. Step 6: Final answer
    x = 118,079.54

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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.