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Finding the Fourth Proportional to 205,109.40, 307,491.30 and 106,613.40

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Solution

The fourth proportional to 205,109.40, 307,491.30 and 106,613.40 is: 159,830.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,109.40 : 307,491.30 = 106,613.40 : x
  2. Step 2: Convert to fraction form
    205,109.40/307,491.30 = 106,613.40/x
  3. Step 3: Cross multiply
    205,109.40x = 307,491.30 × 106,613.40
  4. Step 4: Simplify right side
    205,109.40x = 32,782,692,963.42
  5. Step 5: Solve for x
    x = 32,782,692,963.42/205,109.40
  6. Step 6: Final answer
    x = 159,830.28

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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.