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Finding the Fourth Proportional to 224,496.72, 309,804.84 and 123,894

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Solution

The fourth proportional to 224,496.72, 309,804.84 and 123,894 is: 170,973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,496.72 : 309,804.84 = 123,894 : x
  2. Step 2: Convert to fraction form
    224,496.72/309,804.84 = 123,894/x
  3. Step 3: Cross multiply
    224,496.72x = 309,804.84 × 123,894
  4. Step 4: Simplify right side
    224,496.72x = 38,382,960,846.96
  5. Step 5: Solve for x
    x = 38,382,960,846.96/224,496.72
  6. Step 6: Final answer
    x = 170,973.37

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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.