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Finding the Fourth Proportional to 205,112.40, 307,495.80 and 106,616.40

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Solution

The fourth proportional to 205,112.40, 307,495.80 and 106,616.40 is: 159,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,112.40 : 307,495.80 = 106,616.40 : x
  2. Step 2: Convert to fraction form
    205,112.40/307,495.80 = 106,616.40/x
  3. Step 3: Cross multiply
    205,112.40x = 307,495.80 × 106,616.40
  4. Step 4: Simplify right side
    205,112.40x = 32,784,095,211.12
  5. Step 5: Solve for x
    x = 32,784,095,211.12/205,112.40
  6. Step 6: Final answer
    x = 159,834.78

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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.