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Finding the Fourth Proportional to 205,475.10, 308,271.69 and 85,508.70

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Solution

The fourth proportional to 205,475.10, 308,271.69 and 85,508.70 is: 128,287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,475.10 : 308,271.69 = 85,508.70 : x
  2. Step 2: Convert to fraction form
    205,475.10/308,271.69 = 85,508.70/x
  3. Step 3: Cross multiply
    205,475.10x = 308,271.69 × 85,508.70
  4. Step 4: Simplify right side
    205,475.10x = 26,359,911,458.70
  5. Step 5: Solve for x
    x = 26,359,911,458.70/205,475.10
  6. Step 6: Final answer
    x = 128,287.62

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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.