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Finding the Fourth Proportional to 219,046.26, 302,316.64 and 134,212.52

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Solution

The fourth proportional to 219,046.26, 302,316.64 and 134,212.52 is: 185,233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,046.26 : 302,316.64 = 134,212.52 : x
  2. Step 2: Convert to fraction form
    219,046.26/302,316.64 = 134,212.52/x
  3. Step 3: Cross multiply
    219,046.26x = 302,316.64 × 134,212.52
  4. Step 4: Simplify right side
    219,046.26x = 40,574,678,092.33
  5. Step 5: Solve for x
    x = 40,574,678,092.33/219,046.26
  6. Step 6: Final answer
    x = 185,233.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.