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Finding the Fourth Proportional to 193,243.40, 289,721.10 and 99,816.20

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Solution

The fourth proportional to 193,243.40, 289,721.10 and 99,816.20 is: 149,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,243.40 : 289,721.10 = 99,816.20 : x
  2. Step 2: Convert to fraction form
    193,243.40/289,721.10 = 99,816.20/x
  3. Step 3: Cross multiply
    193,243.40x = 289,721.10 × 99,816.20
  4. Step 4: Simplify right side
    193,243.40x = 28,918,859,261.82
  5. Step 5: Solve for x
    x = 28,918,859,261.82/193,243.40
  6. Step 6: Final answer
    x = 149,649.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.