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Finding the Fourth Proportional to 198,477.64, 297,726.16 and 58,224.52

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Solution

The fourth proportional to 198,477.64, 297,726.16 and 58,224.52 is: 87,339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,477.64 : 297,726.16 = 58,224.52 : x
  2. Step 2: Convert to fraction form
    198,477.64/297,726.16 = 58,224.52/x
  3. Step 3: Cross multiply
    198,477.64x = 297,726.16 × 58,224.52
  4. Step 4: Simplify right side
    198,477.64x = 17,334,962,757.44
  5. Step 5: Solve for x
    x = 17,334,962,757.44/198,477.64
  6. Step 6: Final answer
    x = 87,339.63

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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.