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Finding the Fourth Proportional to 176,538.82, 264,863.56 and 58,293.20

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Solution

The fourth proportional to 176,538.82, 264,863.56 and 58,293.20 is: 87,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,538.82 : 264,863.56 = 58,293.20 : x
  2. Step 2: Convert to fraction form
    176,538.82/264,863.56 = 58,293.20/x
  3. Step 3: Cross multiply
    176,538.82x = 264,863.56 × 58,293.20
  4. Step 4: Simplify right side
    176,538.82x = 15,439,743,151.47
  5. Step 5: Solve for x
    x = 15,439,743,151.47/176,538.82
  6. Step 6: Final answer
    x = 87,458.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.