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Finding the Fourth Proportional to 157,050.64, 216,727.60 and 85,431.24

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Solution

The fourth proportional to 157,050.64, 216,727.60 and 85,431.24 is: 117,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,050.64 : 216,727.60 = 85,431.24 : x
  2. Step 2: Convert to fraction form
    157,050.64/216,727.60 = 85,431.24/x
  3. Step 3: Cross multiply
    157,050.64x = 216,727.60 × 85,431.24
  4. Step 4: Simplify right side
    157,050.64x = 18,515,307,610.22
  5. Step 5: Solve for x
    x = 18,515,307,610.22/157,050.64
  6. Step 6: Final answer
    x = 117,893.87

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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.