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Finding the Fourth Proportional to 157,570.40, 217,438.48 and 89,578

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Solution

The fourth proportional to 157,570.40, 217,438.48 and 89,578 is: 123,612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,570.40 : 217,438.48 = 89,578 : x
  2. Step 2: Convert to fraction form
    157,570.40/217,438.48 = 89,578/x
  3. Step 3: Cross multiply
    157,570.40x = 217,438.48 × 89,578
  4. Step 4: Simplify right side
    157,570.40x = 19,477,704,161.44
  5. Step 5: Solve for x
    x = 19,477,704,161.44/157,570.40
  6. Step 6: Final answer
    x = 123,612.71

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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.