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Finding the Fourth Proportional to 104,705, 157,107.90 and 52,119.08

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Solution

The fourth proportional to 104,705, 157,107.90 and 52,119.08 is: 78,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,705 : 157,107.90 = 52,119.08 : x
  2. Step 2: Convert to fraction form
    104,705/157,107.90 = 52,119.08/x
  3. Step 3: Cross multiply
    104,705x = 157,107.90 × 52,119.08
  4. Step 4: Simplify right side
    104,705x = 8,188,319,208.73
  5. Step 5: Solve for x
    x = 8,188,319,208.73/104,705
  6. Step 6: Final answer
    x = 78,203.71

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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.