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Finding the Fourth Proportional to 354,137.52, 488,695.58 and 192,989.12

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Solution

The fourth proportional to 354,137.52, 488,695.58 and 192,989.12 is: 266,317.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,137.52 : 488,695.58 = 192,989.12 : x
  2. Step 2: Convert to fraction form
    354,137.52/488,695.58 = 192,989.12/x
  3. Step 3: Cross multiply
    354,137.52x = 488,695.58 × 192,989.12
  4. Step 4: Simplify right side
    354,137.52x = 94,312,926,523.67
  5. Step 5: Solve for x
    x = 94,312,926,523.67/354,137.52
  6. Step 6: Final answer
    x = 266,317.24

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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.