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Finding the Fourth Proportional to 265,390.92, 397,151.48 and 165,598.12

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Solution

The fourth proportional to 265,390.92, 397,151.48 and 165,598.12 is: 247,813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,390.92 : 397,151.48 = 165,598.12 : x
  2. Step 2: Convert to fraction form
    265,390.92/397,151.48 = 165,598.12/x
  3. Step 3: Cross multiply
    265,390.92x = 397,151.48 × 165,598.12
  4. Step 4: Simplify right side
    265,390.92x = 65,767,538,443.22
  5. Step 5: Solve for x
    x = 65,767,538,443.22/265,390.92
  6. Step 6: Final answer
    x = 247,813.82

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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.