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Finding the Fourth Proportional to 157,086.48, 216,780.29 and 85,467.03

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Solution

The fourth proportional to 157,086.48, 216,780.29 and 85,467.03 is: 117,945.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,086.48 : 216,780.29 = 85,467.03 : x
  2. Step 2: Convert to fraction form
    157,086.48/216,780.29 = 85,467.03/x
  3. Step 3: Cross multiply
    157,086.48x = 216,780.29 × 85,467.03
  4. Step 4: Simplify right side
    157,086.48x = 18,527,567,548.84
  5. Step 5: Solve for x
    x = 18,527,567,548.84/157,086.48
  6. Step 6: Final answer
    x = 117,945.02

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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.