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Finding the Fourth Proportional to 194,636.71, 268,598.71 and 109,753.80

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Solution

The fourth proportional to 194,636.71, 268,598.71 and 109,753.80 is: 151,460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,636.71 : 268,598.71 = 109,753.80 : x
  2. Step 2: Convert to fraction form
    194,636.71/268,598.71 = 109,753.80/x
  3. Step 3: Cross multiply
    194,636.71x = 268,598.71 × 109,753.80
  4. Step 4: Simplify right side
    194,636.71x = 29,479,729,097.60
  5. Step 5: Solve for x
    x = 29,479,729,097.60/194,636.71
  6. Step 6: Final answer
    x = 151,460.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.