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Finding the Fourth Proportional to 157,594.89, 217,477.29 and 85,977.43

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Solution

The fourth proportional to 157,594.89, 217,477.29 and 85,977.43 is: 118,646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,594.89 : 217,477.29 = 85,977.43 : x
  2. Step 2: Convert to fraction form
    157,594.89/217,477.29 = 85,977.43/x
  3. Step 3: Cross multiply
    157,594.89x = 217,477.29 × 85,977.43
  4. Step 4: Simplify right side
    157,594.89x = 18,698,138,477.56
  5. Step 5: Solve for x
    x = 18,698,138,477.56/157,594.89
  6. Step 6: Final answer
    x = 118,646.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.