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Finding the Fourth Proportional to 146,803.99, 220,199.91 and 46,969.87

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Solution

The fourth proportional to 146,803.99, 220,199.91 and 46,969.87 is: 70,452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,803.99 : 220,199.91 = 46,969.87 : x
  2. Step 2: Convert to fraction form
    146,803.99/220,199.91 = 46,969.87/x
  3. Step 3: Cross multiply
    146,803.99x = 220,199.91 × 46,969.87
  4. Step 4: Simplify right side
    146,803.99x = 10,342,761,146.71
  5. Step 5: Solve for x
    x = 10,342,761,146.71/146,803.99
  6. Step 6: Final answer
    x = 70,452.86

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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.