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Finding the Fourth Proportional to 201,867.20, 302,800.80 and 122,940.80

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Solution

The fourth proportional to 201,867.20, 302,800.80 and 122,940.80 is: 184,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,867.20 : 302,800.80 = 122,940.80 : x
  2. Step 2: Convert to fraction form
    201,867.20/302,800.80 = 122,940.80/x
  3. Step 3: Cross multiply
    201,867.20x = 302,800.80 × 122,940.80
  4. Step 4: Simplify right side
    201,867.20x = 37,226,572,592.64
  5. Step 5: Solve for x
    x = 37,226,572,592.64/201,867.20
  6. Step 6: Final answer
    x = 184,411.20

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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.