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Finding the Fourth Proportional to 352,106.94, 485,900.09 and 199,124.98

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Solution

The fourth proportional to 352,106.94, 485,900.09 and 199,124.98 is: 274,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,106.94 : 485,900.09 = 199,124.98 : x
  2. Step 2: Convert to fraction form
    352,106.94/485,900.09 = 199,124.98/x
  3. Step 3: Cross multiply
    352,106.94x = 485,900.09 × 199,124.98
  4. Step 4: Simplify right side
    352,106.94x = 96,754,843,492.87
  5. Step 5: Solve for x
    x = 96,754,843,492.87/352,106.94
  6. Step 6: Final answer
    x = 274,788.23

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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.