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Finding the Fourth Proportional to 205,334.40, 307,564.20 and 165,968.40

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Solution

The fourth proportional to 205,334.40, 307,564.20 and 165,968.40 is: 248,599.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,334.40 : 307,564.20 = 165,968.40 : x
  2. Step 2: Convert to fraction form
    205,334.40/307,564.20 = 165,968.40/x
  3. Step 3: Cross multiply
    205,334.40x = 307,564.20 × 165,968.40
  4. Step 4: Simplify right side
    205,334.40x = 51,045,938,171.28
  5. Step 5: Solve for x
    x = 51,045,938,171.28/205,334.40
  6. Step 6: Final answer
    x = 248,599.06

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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.