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Finding the Fourth Proportional to 224,343.49, 309,538.61 and 137,106.34

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Solution

The fourth proportional to 224,343.49, 309,538.61 and 137,106.34 is: 189,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,343.49 : 309,538.61 = 137,106.34 : x
  2. Step 2: Convert to fraction form
    224,343.49/309,538.61 = 137,106.34/x
  3. Step 3: Cross multiply
    224,343.49x = 309,538.61 × 137,106.34
  4. Step 4: Simplify right side
    224,343.49x = 42,439,704,960.56
  5. Step 5: Solve for x
    x = 42,439,704,960.56/224,343.49
  6. Step 6: Final answer
    x = 189,172.89

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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.