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Finding the Fourth Proportional to 188,416.80, 282,625.20 and 146,944.80

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Solution

The fourth proportional to 188,416.80, 282,625.20 and 146,944.80 is: 220,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,416.80 : 282,625.20 = 146,944.80 : x
  2. Step 2: Convert to fraction form
    188,416.80/282,625.20 = 146,944.80/x
  3. Step 3: Cross multiply
    188,416.80x = 282,625.20 × 146,944.80
  4. Step 4: Simplify right side
    188,416.80x = 41,530,303,488.96
  5. Step 5: Solve for x
    x = 41,530,303,488.96/188,416.80
  6. Step 6: Final answer
    x = 220,417.20

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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.