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Finding the Fourth Proportional to 205,812.10, 309,034.95 and 112,500.10

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Solution

The fourth proportional to 205,812.10, 309,034.95 and 112,500.10 is: 168,923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,812.10 : 309,034.95 = 112,500.10 : x
  2. Step 2: Convert to fraction form
    205,812.10/309,034.95 = 112,500.10/x
  3. Step 3: Cross multiply
    205,812.10x = 309,034.95 × 112,500.10
  4. Step 4: Simplify right side
    205,812.10x = 34,766,462,778.50
  5. Step 5: Solve for x
    x = 34,766,462,778.50/205,812.10
  6. Step 6: Final answer
    x = 168,923.32

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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.