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Finding the Fourth Proportional to 207,365.40, 311,097.42 and 67,123.98

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Solution

The fourth proportional to 207,365.40, 311,097.42 and 67,123.98 is: 100,701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,365.40 : 311,097.42 = 67,123.98 : x
  2. Step 2: Convert to fraction form
    207,365.40/311,097.42 = 67,123.98/x
  3. Step 3: Cross multiply
    207,365.40x = 311,097.42 × 67,123.98
  4. Step 4: Simplify right side
    207,365.40x = 20,882,096,998.13
  5. Step 5: Solve for x
    x = 20,882,096,998.13/207,365.40
  6. Step 6: Final answer
    x = 100,701.93

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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.