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Finding the Fourth Proportional to 198,854.60, 298,282.51 and 49,094.91

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Solution

The fourth proportional to 198,854.60, 298,282.51 and 49,094.91 is: 73,642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,854.60 : 298,282.51 = 49,094.91 : x
  2. Step 2: Convert to fraction form
    198,854.60/298,282.51 = 49,094.91/x
  3. Step 3: Cross multiply
    198,854.60x = 298,282.51 × 49,094.91
  4. Step 4: Simplify right side
    198,854.60x = 14,644,152,983.02
  5. Step 5: Solve for x
    x = 14,644,152,983.02/198,854.60
  6. Step 6: Final answer
    x = 73,642.52

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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.