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Finding the Fourth Proportional to 209,331.56, 313,962.46 and 61,553

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Solution

The fourth proportional to 209,331.56, 313,962.46 and 61,553 is: 92,319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,331.56 : 313,962.46 = 61,553 : x
  2. Step 2: Convert to fraction form
    209,331.56/313,962.46 = 61,553/x
  3. Step 3: Cross multiply
    209,331.56x = 313,962.46 × 61,553
  4. Step 4: Simplify right side
    209,331.56x = 19,325,331,300.38
  5. Step 5: Solve for x
    x = 19,325,331,300.38/209,331.56
  6. Step 6: Final answer
    x = 92,319.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.