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Finding the Fourth Proportional to 199,200.60, 298,894.17 and 99,368.52

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Solution

The fourth proportional to 199,200.60, 298,894.17 and 99,368.52 is: 149,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,200.60 : 298,894.17 = 99,368.52 : x
  2. Step 2: Convert to fraction form
    199,200.60/298,894.17 = 99,368.52/x
  3. Step 3: Cross multiply
    199,200.60x = 298,894.17 × 99,368.52
  4. Step 4: Simplify right side
    199,200.60x = 29,700,671,309.53
  5. Step 5: Solve for x
    x = 29,700,671,309.53/199,200.60
  6. Step 6: Final answer
    x = 149,099.31

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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.