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Finding the Fourth Proportional to 173,344.50, 260,016.75 and 42,016.50

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Solution

The fourth proportional to 173,344.50, 260,016.75 and 42,016.50 is: 63,024.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,344.50 : 260,016.75 = 42,016.50 : x
  2. Step 2: Convert to fraction form
    173,344.50/260,016.75 = 42,016.50/x
  3. Step 3: Cross multiply
    173,344.50x = 260,016.75 × 42,016.50
  4. Step 4: Simplify right side
    173,344.50x = 10,924,993,776.38
  5. Step 5: Solve for x
    x = 10,924,993,776.38/173,344.50
  6. Step 6: Final answer
    x = 63,024.75

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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.