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Finding the Fourth Proportional to 224,473.14, 309,774.74 and 122,499.41

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Solution

The fourth proportional to 224,473.14, 309,774.74 and 122,499.41 is: 169,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,473.14 : 309,774.74 = 122,499.41 : x
  2. Step 2: Convert to fraction form
    224,473.14/309,774.74 = 122,499.41/x
  3. Step 3: Cross multiply
    224,473.14x = 309,774.74 × 122,499.41
  4. Step 4: Simplify right side
    224,473.14x = 37,947,220,721.53
  5. Step 5: Solve for x
    x = 37,947,220,721.53/224,473.14
  6. Step 6: Final answer
    x = 169,050.16

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Why These Related Problems?

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