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Finding the Fourth Proportional to 205,243.29, 307,613.43 and 116,571.42

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Solution

The fourth proportional to 205,243.29, 307,613.43 and 116,571.42 is: 174,714.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,243.29 : 307,613.43 = 116,571.42 : x
  2. Step 2: Convert to fraction form
    205,243.29/307,613.43 = 116,571.42/x
  3. Step 3: Cross multiply
    205,243.29x = 307,613.43 × 116,571.42
  4. Step 4: Simplify right side
    205,243.29x = 35,858,934,346.17
  5. Step 5: Solve for x
    x = 35,858,934,346.17/205,243.29
  6. Step 6: Final answer
    x = 174,714.28

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1.5x scale

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.