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Finding the Fourth Proportional to 216,946.80, 325,420.20 and 194,858.10

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Solution

The fourth proportional to 216,946.80, 325,420.20 and 194,858.10 is: 292,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,946.80 : 325,420.20 = 194,858.10 : x
  2. Step 2: Convert to fraction form
    216,946.80/325,420.20 = 194,858.10/x
  3. Step 3: Cross multiply
    216,946.80x = 325,420.20 × 194,858.10
  4. Step 4: Simplify right side
    216,946.80x = 63,410,761,873.62
  5. Step 5: Solve for x
    x = 63,410,761,873.62/216,946.80
  6. Step 6: Final answer
    x = 292,287.15

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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.