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Finding the Fourth Proportional to 223,073.28, 307,794.60 and 132,416.46

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Solution

The fourth proportional to 223,073.28, 307,794.60 and 132,416.46 is: 182,707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,073.28 : 307,794.60 = 132,416.46 : x
  2. Step 2: Convert to fraction form
    223,073.28/307,794.60 = 132,416.46/x
  3. Step 3: Cross multiply
    223,073.28x = 307,794.60 × 132,416.46
  4. Step 4: Simplify right side
    223,073.28x = 40,757,071,339.12
  5. Step 5: Solve for x
    x = 40,757,071,339.12/223,073.28
  6. Step 6: Final answer
    x = 182,707.10

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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.