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Finding the Fourth Proportional to 356,734.80, 534,648.60 and 146,134.80

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Solution

The fourth proportional to 356,734.80, 534,648.60 and 146,134.80 is: 219,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,734.80 : 534,648.60 = 146,134.80 : x
  2. Step 2: Convert to fraction form
    356,734.80/534,648.60 = 146,134.80/x
  3. Step 3: Cross multiply
    356,734.80x = 534,648.60 × 146,134.80
  4. Step 4: Simplify right side
    356,734.80x = 78,130,766,231.28
  5. Step 5: Solve for x
    x = 78,130,766,231.28/356,734.80
  6. Step 6: Final answer
    x = 219,016.38

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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.