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Finding the Fourth Proportional to 146,253.98, 219,380.97 and 35,445.98

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Solution

The fourth proportional to 146,253.98, 219,380.97 and 35,445.98 is: 53,168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,253.98 : 219,380.97 = 35,445.98 : x
  2. Step 2: Convert to fraction form
    146,253.98/219,380.97 = 35,445.98/x
  3. Step 3: Cross multiply
    146,253.98x = 219,380.97 × 35,445.98
  4. Step 4: Simplify right side
    146,253.98x = 7,776,172,749.32
  5. Step 5: Solve for x
    x = 7,776,172,749.32/146,253.98
  6. Step 6: Final answer
    x = 53,168.97

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1.5x scale

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.