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Finding the Fourth Proportional to 223,201.54, 307,970.20 and 132,588.05

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Solution

The fourth proportional to 223,201.54, 307,970.20 and 132,588.05 is: 182,943.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,201.54 : 307,970.20 = 132,588.05 : x
  2. Step 2: Convert to fraction form
    223,201.54/307,970.20 = 132,588.05/x
  3. Step 3: Cross multiply
    223,201.54x = 307,970.20 × 132,588.05
  4. Step 4: Simplify right side
    223,201.54x = 40,833,167,613.17
  5. Step 5: Solve for x
    x = 40,833,167,613.17/223,201.54
  6. Step 6: Final answer
    x = 182,943.04

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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.