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Finding the Fourth Proportional to 224,518.50, 309,835.94 and 123,916.50

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Solution

The fourth proportional to 224,518.50, 309,835.94 and 123,916.50 is: 171,004.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,518.50 : 309,835.94 = 123,916.50 : x
  2. Step 2: Convert to fraction form
    224,518.50/309,835.94 = 123,916.50/x
  3. Step 3: Cross multiply
    224,518.50x = 309,835.94 × 123,916.50
  4. Step 4: Simplify right side
    224,518.50x = 38,393,784,639.43
  5. Step 5: Solve for x
    x = 38,393,784,639.43/224,518.50
  6. Step 6: Final answer
    x = 171,004.99

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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.