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Finding the Fourth Proportional to 314,354.29, 471,266.94 and 136,727.52

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Solution

The fourth proportional to 314,354.29, 471,266.94 and 136,727.52 is: 204,976.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,354.29 : 471,266.94 = 136,727.52 : x
  2. Step 2: Convert to fraction form
    314,354.29/471,266.94 = 136,727.52/x
  3. Step 3: Cross multiply
    314,354.29x = 471,266.94 × 136,727.52
  4. Step 4: Simplify right side
    314,354.29x = 64,435,158,196.94
  5. Step 5: Solve for x
    x = 64,435,158,196.94/314,354.29
  6. Step 6: Final answer
    x = 204,976.23

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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.