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Finding the Fourth Proportional to 193,356.90, 289,966.01 and 66,963.20

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Solution

The fourth proportional to 193,356.90, 289,966.01 and 66,963.20 is: 100,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,356.90 : 289,966.01 = 66,963.20 : x
  2. Step 2: Convert to fraction form
    193,356.90/289,966.01 = 66,963.20/x
  3. Step 3: Cross multiply
    193,356.90x = 289,966.01 × 66,963.20
  4. Step 4: Simplify right side
    193,356.90x = 19,417,050,136.19
  5. Step 5: Solve for x
    x = 19,417,050,136.19/193,356.90
  6. Step 6: Final answer
    x = 100,420.78

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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.