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Finding the Fourth Proportional to 157,204.97, 216,941.55 and 85,584.84

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Solution

The fourth proportional to 157,204.97, 216,941.55 and 85,584.84 is: 118,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,204.97 : 216,941.55 = 85,584.84 : x
  2. Step 2: Convert to fraction form
    157,204.97/216,941.55 = 85,584.84/x
  3. Step 3: Cross multiply
    157,204.97x = 216,941.55 × 85,584.84
  4. Step 4: Simplify right side
    157,204.97x = 18,566,907,846.10
  5. Step 5: Solve for x
    x = 18,566,907,846.10/157,204.97
  6. Step 6: Final answer
    x = 118,106.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.