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Finding the Fourth Proportional to 104,909.41, 157,410.64 and 54,977.64

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Solution

The fourth proportional to 104,909.41, 157,410.64 and 54,977.64 is: 82,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,909.41 : 157,410.64 = 54,977.64 : x
  2. Step 2: Convert to fraction form
    104,909.41/157,410.64 = 54,977.64/x
  3. Step 3: Cross multiply
    104,909.41x = 157,410.64 × 54,977.64
  4. Step 4: Simplify right side
    104,909.41x = 8,654,066,304.67
  5. Step 5: Solve for x
    x = 8,654,066,304.67/104,909.41
  6. Step 6: Final answer
    x = 82,490.85

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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.