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Finding the Fourth Proportional to 205,820.20, 308,730.30 and 121,620.70

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Solution

The fourth proportional to 205,820.20, 308,730.30 and 121,620.70 is: 182,431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,820.20 : 308,730.30 = 121,620.70 : x
  2. Step 2: Convert to fraction form
    205,820.20/308,730.30 = 121,620.70/x
  3. Step 3: Cross multiply
    205,820.20x = 308,730.30 × 121,620.70
  4. Step 4: Simplify right side
    205,820.20x = 37,547,995,197.21
  5. Step 5: Solve for x
    x = 37,547,995,197.21/205,820.20
  6. Step 6: Final answer
    x = 182,431.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.