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Finding the Fourth Proportional to 193,522.72, 290,222.64 and 62,164

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Solution

The fourth proportional to 193,522.72, 290,222.64 and 62,164 is: 93,226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,522.72 : 290,222.64 = 62,164 : x
  2. Step 2: Convert to fraction form
    193,522.72/290,222.64 = 62,164/x
  3. Step 3: Cross multiply
    193,522.72x = 290,222.64 × 62,164
  4. Step 4: Simplify right side
    193,522.72x = 18,041,400,192.96
  5. Step 5: Solve for x
    x = 18,041,400,192.96/193,522.72
  6. Step 6: Final answer
    x = 93,226.26

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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.