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Finding the Fourth Proportional to 161,299.65, 241,951.76 and 61,465.31

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Solution

The fourth proportional to 161,299.65, 241,951.76 and 61,465.31 is: 92,198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,299.65 : 241,951.76 = 61,465.31 : x
  2. Step 2: Convert to fraction form
    161,299.65/241,951.76 = 61,465.31/x
  3. Step 3: Cross multiply
    161,299.65x = 241,951.76 × 61,465.31
  4. Step 4: Simplify right side
    161,299.65x = 14,871,639,933.45
  5. Step 5: Solve for x
    x = 14,871,639,933.45/161,299.65
  6. Step 6: Final answer
    x = 92,198.84

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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.