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Finding the Fourth Proportional to 151,299.50, 208,723.25 and 97,601.84

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Solution

The fourth proportional to 151,299.50, 208,723.25 and 97,601.84 is: 134,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,299.50 : 208,723.25 = 97,601.84 : x
  2. Step 2: Convert to fraction form
    151,299.50/208,723.25 = 97,601.84/x
  3. Step 3: Cross multiply
    151,299.50x = 208,723.25 × 97,601.84
  4. Step 4: Simplify right side
    151,299.50x = 20,371,771,719.15
  5. Step 5: Solve for x
    x = 20,371,771,719.15/151,299.50
  6. Step 6: Final answer
    x = 134,645.33

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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.