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Finding the Fourth Proportional to 193,214.60, 289,965.90 and 99,672.20

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Solution

The fourth proportional to 193,214.60, 289,965.90 and 99,672.20 is: 149,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,214.60 : 289,965.90 = 99,672.20 : x
  2. Step 2: Convert to fraction form
    193,214.60/289,965.90 = 99,672.20/x
  3. Step 3: Cross multiply
    193,214.60x = 289,965.90 × 99,672.20
  4. Step 4: Simplify right side
    193,214.60x = 28,901,539,177.98
  5. Step 5: Solve for x
    x = 28,901,539,177.98/193,214.60
  6. Step 6: Final answer
    x = 149,582.58

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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.