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Finding the Fourth Proportional to 157,019.44, 216,687.88 and 85,400

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Solution

The fourth proportional to 157,019.44, 216,687.88 and 85,400 is: 117,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,019.44 : 216,687.88 = 85,400 : x
  2. Step 2: Convert to fraction form
    157,019.44/216,687.88 = 85,400/x
  3. Step 3: Cross multiply
    157,019.44x = 216,687.88 × 85,400
  4. Step 4: Simplify right side
    157,019.44x = 18,505,144,952
  5. Step 5: Solve for x
    x = 18,505,144,952/157,019.44
  6. Step 6: Final answer
    x = 117,852.57

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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.