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Finding the Fourth Proportional to 306,216.81, 459,295.51 and 92,986.57

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Solution

The fourth proportional to 306,216.81, 459,295.51 and 92,986.57 is: 139,470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,216.81 : 459,295.51 = 92,986.57 : x
  2. Step 2: Convert to fraction form
    306,216.81/459,295.51 = 92,986.57/x
  3. Step 3: Cross multiply
    306,216.81x = 459,295.51 × 92,986.57
  4. Step 4: Simplify right side
    306,216.81x = 42,708,314,091.30
  5. Step 5: Solve for x
    x = 42,708,314,091.30/306,216.81
  6. Step 6: Final answer
    x = 139,470.83

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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.