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Finding the Fourth Proportional to 224,447.46, 309,744.98 and 122,478.53

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Solution

The fourth proportional to 224,447.46, 309,744.98 and 122,478.53 is: 169,024.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,447.46 : 309,744.98 = 122,478.53 : x
  2. Step 2: Convert to fraction form
    224,447.46/309,744.98 = 122,478.53/x
  3. Step 3: Cross multiply
    224,447.46x = 309,744.98 × 122,478.53
  4. Step 4: Simplify right side
    224,447.46x = 37,937,107,664.16
  5. Step 5: Solve for x
    x = 37,937,107,664.16/224,447.46
  6. Step 6: Final answer
    x = 169,024.45

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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.