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Finding the Fourth Proportional to 157,026.24, 216,697.32 and 85,408.56

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Solution

The fourth proportional to 157,026.24, 216,697.32 and 85,408.56 is: 117,864.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,026.24 : 216,697.32 = 85,408.56 : x
  2. Step 2: Convert to fraction form
    157,026.24/216,697.32 = 85,408.56/x
  3. Step 3: Cross multiply
    157,026.24x = 216,697.32 × 85,408.56
  4. Step 4: Simplify right side
    157,026.24x = 18,507,806,057.06
  5. Step 5: Solve for x
    x = 18,507,806,057.06/157,026.24
  6. Step 6: Final answer
    x = 117,864.42

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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.