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Finding the Fourth Proportional to 223,683.20, 335,421.11 and 83,404.16

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Solution

The fourth proportional to 223,683.20, 335,421.11 and 83,404.16 is: 125,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,683.20 : 335,421.11 = 83,404.16 : x
  2. Step 2: Convert to fraction form
    223,683.20/335,421.11 = 83,404.16/x
  3. Step 3: Cross multiply
    223,683.20x = 335,421.11 × 83,404.16
  4. Step 4: Simplify right side
    223,683.20x = 27,975,514,457.22
  5. Step 5: Solve for x
    x = 27,975,514,457.22/223,683.20
  6. Step 6: Final answer
    x = 125,067.57

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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.