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Finding the Fourth Proportional to 224,645, 310,022.74 and 122,679.94

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Solution

The fourth proportional to 224,645, 310,022.74 and 122,679.94 is: 169,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,645 : 310,022.74 = 122,679.94 : x
  2. Step 2: Convert to fraction form
    224,645/310,022.74 = 122,679.94/x
  3. Step 3: Cross multiply
    224,645x = 310,022.74 × 122,679.94
  4. Step 4: Simplify right side
    224,645x = 38,033,571,141.84
  5. Step 5: Solve for x
    x = 38,033,571,141.84/224,645
  6. Step 6: Final answer
    x = 169,305.22

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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.