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Finding the Fourth Proportional to 104,909.61, 157,410.93 and 54,977.84

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Solution

The fourth proportional to 104,909.61, 157,410.93 and 54,977.84 is: 82,491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,909.61 : 157,410.93 = 54,977.84 : x
  2. Step 2: Convert to fraction form
    104,909.61/157,410.93 = 54,977.84/x
  3. Step 3: Cross multiply
    104,909.61x = 157,410.93 × 54,977.84
  4. Step 4: Simplify right side
    104,909.61x = 8,654,112,235.12
  5. Step 5: Solve for x
    x = 8,654,112,235.12/104,909.61
  6. Step 6: Final answer
    x = 82,491.13

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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.