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Finding the Fourth Proportional to 146,175.16, 219,262.74 and 35,367.16

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Solution

The fourth proportional to 146,175.16, 219,262.74 and 35,367.16 is: 53,050.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,175.16 : 219,262.74 = 35,367.16 : x
  2. Step 2: Convert to fraction form
    146,175.16/219,262.74 = 35,367.16/x
  3. Step 3: Cross multiply
    146,175.16x = 219,262.74 × 35,367.16
  4. Step 4: Simplify right side
    146,175.16x = 7,754,699,311.30
  5. Step 5: Solve for x
    x = 7,754,699,311.30/146,175.16
  6. Step 6: Final answer
    x = 53,050.73

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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.