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Finding the Fourth Proportional to 224,804.10, 310,226 and 122,827.38

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Solution

The fourth proportional to 224,804.10, 310,226 and 122,827.38 is: 169,499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,804.10 : 310,226 = 122,827.38 : x
  2. Step 2: Convert to fraction form
    224,804.10/310,226 = 122,827.38/x
  3. Step 3: Cross multiply
    224,804.10x = 310,226 × 122,827.38
  4. Step 4: Simplify right side
    224,804.10x = 38,104,246,787.88
  5. Step 5: Solve for x
    x = 38,104,246,787.88/224,804.10
  6. Step 6: Final answer
    x = 169,499.79

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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.