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Finding the Fourth Proportional to 157,493.92, 235,977.88 and 110,662.96

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Solution

The fourth proportional to 157,493.92, 235,977.88 and 110,662.96 is: 165,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,493.92 : 235,977.88 = 110,662.96 : x
  2. Step 2: Convert to fraction form
    157,493.92/235,977.88 = 110,662.96/x
  3. Step 3: Cross multiply
    157,493.92x = 235,977.88 × 110,662.96
  4. Step 4: Simplify right side
    157,493.92x = 26,114,010,695.32
  5. Step 5: Solve for x
    x = 26,114,010,695.32/157,493.92
  6. Step 6: Final answer
    x = 165,809.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.