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Finding the Fourth Proportional to 354,100.11, 488,657.97 and 192,954.93

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Solution

The fourth proportional to 354,100.11, 488,657.97 and 192,954.93 is: 266,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,100.11 : 488,657.97 = 192,954.93 : x
  2. Step 2: Convert to fraction form
    354,100.11/488,657.97 = 192,954.93/x
  3. Step 3: Cross multiply
    354,100.11x = 488,657.97 × 192,954.93
  4. Step 4: Simplify right side
    354,100.11x = 94,288,964,395.29
  5. Step 5: Solve for x
    x = 94,288,964,395.29/354,100.11
  6. Step 6: Final answer
    x = 266,277.70

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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.