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Finding the Fourth Proportional to 157,201.10, 216,930.35 and 85,580.96

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Solution

The fourth proportional to 157,201.10, 216,930.35 and 85,580.96 is: 118,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,201.10 : 216,930.35 = 85,580.96 : x
  2. Step 2: Convert to fraction form
    157,201.10/216,930.35 = 85,580.96/x
  3. Step 3: Cross multiply
    157,201.10x = 216,930.35 × 85,580.96
  4. Step 4: Simplify right side
    157,201.10x = 18,565,106,735.44
  5. Step 5: Solve for x
    x = 18,565,106,735.44/157,201.10
  6. Step 6: Final answer
    x = 118,097.81

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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.