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Finding the Fourth Proportional to 253,060.20, 380,027.70 and 164,705.40

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Solution

The fourth proportional to 253,060.20, 380,027.70 and 164,705.40 is: 247,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,060.20 : 380,027.70 = 164,705.40 : x
  2. Step 2: Convert to fraction form
    253,060.20/380,027.70 = 164,705.40/x
  3. Step 3: Cross multiply
    253,060.20x = 380,027.70 × 164,705.40
  4. Step 4: Simplify right side
    253,060.20x = 62,592,614,339.58
  5. Step 5: Solve for x
    x = 62,592,614,339.58/253,060.20
  6. Step 6: Final answer
    x = 247,342.78

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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.