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Finding the Fourth Proportional to 352,989.16, 487,124.90 and 194,013.16

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Solution

The fourth proportional to 352,989.16, 487,124.90 and 194,013.16 is: 267,738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,989.16 : 487,124.90 = 194,013.16 : x
  2. Step 2: Convert to fraction form
    352,989.16/487,124.90 = 194,013.16/x
  3. Step 3: Cross multiply
    352,989.16x = 487,124.90 × 194,013.16
  4. Step 4: Simplify right side
    352,989.16x = 94,508,641,163.68
  5. Step 5: Solve for x
    x = 94,508,641,163.68/352,989.16
  6. Step 6: Final answer
    x = 267,738.08

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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.