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Finding the Fourth Proportional to 209,542.66, 314,318.88 and 59,796.34

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Solution

The fourth proportional to 209,542.66, 314,318.88 and 59,796.34 is: 89,695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,542.66 : 314,318.88 = 59,796.34 : x
  2. Step 2: Convert to fraction form
    209,542.66/314,318.88 = 59,796.34/x
  3. Step 3: Cross multiply
    209,542.66x = 314,318.88 × 59,796.34
  4. Step 4: Simplify right side
    209,542.66x = 18,795,118,616.90
  5. Step 5: Solve for x
    x = 18,795,118,616.90/209,542.66
  6. Step 6: Final answer
    x = 89,695.91

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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.