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Finding the Fourth Proportional to 209,466.90, 314,200.35 and 162,753.30

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Solution

The fourth proportional to 209,466.90, 314,200.35 and 162,753.30 is: 244,129.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,466.90 : 314,200.35 = 162,753.30 : x
  2. Step 2: Convert to fraction form
    209,466.90/314,200.35 = 162,753.30/x
  3. Step 3: Cross multiply
    209,466.90x = 314,200.35 × 162,753.30
  4. Step 4: Simplify right side
    209,466.90x = 51,137,143,823.66
  5. Step 5: Solve for x
    x = 51,137,143,823.66/209,466.90
  6. Step 6: Final answer
    x = 244,129.95

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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.