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Finding the Fourth Proportional to 201,632.60, 302,546.10 and 142,340.60

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Solution

The fourth proportional to 201,632.60, 302,546.10 and 142,340.60 is: 213,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,632.60 : 302,546.10 = 142,340.60 : x
  2. Step 2: Convert to fraction form
    201,632.60/302,546.10 = 142,340.60/x
  3. Step 3: Cross multiply
    201,632.60x = 302,546.10 × 142,340.60
  4. Step 4: Simplify right side
    201,632.60x = 43,064,593,401.66
  5. Step 5: Solve for x
    x = 43,064,593,401.66/201,632.60
  6. Step 6: Final answer
    x = 213,579.52

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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.