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Finding the Fourth Proportional to 303,837.60, 455,756.40 and 82,221.60

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Solution

The fourth proportional to 303,837.60, 455,756.40 and 82,221.60 is: 123,332.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,837.60 : 455,756.40 = 82,221.60 : x
  2. Step 2: Convert to fraction form
    303,837.60/455,756.40 = 82,221.60/x
  3. Step 3: Cross multiply
    303,837.60x = 455,756.40 × 82,221.60
  4. Step 4: Simplify right side
    303,837.60x = 37,473,020,418.24
  5. Step 5: Solve for x
    x = 37,473,020,418.24/303,837.60
  6. Step 6: Final answer
    x = 123,332.40

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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.