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Finding the Fourth Proportional to 227,522.52, 313,883.10 and 142,623.18

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Solution

The fourth proportional to 227,522.52, 313,883.10 and 142,623.18 is: 196,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,522.52 : 313,883.10 = 142,623.18 : x
  2. Step 2: Convert to fraction form
    227,522.52/313,883.10 = 142,623.18/x
  3. Step 3: Cross multiply
    227,522.52x = 313,883.10 × 142,623.18
  4. Step 4: Simplify right side
    227,522.52x = 44,767,005,870.26
  5. Step 5: Solve for x
    x = 44,767,005,870.26/227,522.52
  6. Step 6: Final answer
    x = 196,758.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.