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Finding the Fourth Proportional to 221,898.78, 306,203.76 and 126,386.82

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Solution

The fourth proportional to 221,898.78, 306,203.76 and 126,386.82 is: 174,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,898.78 : 306,203.76 = 126,386.82 : x
  2. Step 2: Convert to fraction form
    221,898.78/306,203.76 = 126,386.82/x
  3. Step 3: Cross multiply
    221,898.78x = 306,203.76 × 126,386.82
  4. Step 4: Simplify right side
    221,898.78x = 38,700,119,498.44
  5. Step 5: Solve for x
    x = 38,700,119,498.44/221,898.78
  6. Step 6: Final answer
    x = 174,404.38

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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.