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Finding the Fourth Proportional to 226,646.16, 312,782.76 and 126,042

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Solution

The fourth proportional to 226,646.16, 312,782.76 and 126,042 is: 173,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,646.16 : 312,782.76 = 126,042 : x
  2. Step 2: Convert to fraction form
    226,646.16/312,782.76 = 126,042/x
  3. Step 3: Cross multiply
    226,646.16x = 312,782.76 × 126,042
  4. Step 4: Simplify right side
    226,646.16x = 39,423,764,635.92
  5. Step 5: Solve for x
    x = 39,423,764,635.92/226,646.16
  6. Step 6: Final answer
    x = 173,944.11

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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.