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Finding the Fourth Proportional to 223,086.52, 307,859.64 and 132,460.58

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Solution

The fourth proportional to 223,086.52, 307,859.64 and 132,460.58 is: 182,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,086.52 : 307,859.64 = 132,460.58 : x
  2. Step 2: Convert to fraction form
    223,086.52/307,859.64 = 132,460.58/x
  3. Step 3: Cross multiply
    223,086.52x = 307,859.64 × 132,460.58
  4. Step 4: Simplify right side
    223,086.52x = 40,779,266,745.91
  5. Step 5: Solve for x
    x = 40,779,266,745.91/223,086.52
  6. Step 6: Final answer
    x = 182,795.74

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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.