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Finding the Fourth Proportional to 224,240, 309,453.62 and 122,264.64

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Solution

The fourth proportional to 224,240, 309,453.62 and 122,264.64 is: 168,726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,240 : 309,453.62 = 122,264.64 : x
  2. Step 2: Convert to fraction form
    224,240/309,453.62 = 122,264.64/x
  3. Step 3: Cross multiply
    224,240x = 309,453.62 × 122,264.64
  4. Step 4: Simplify right side
    224,240x = 37,835,235,446.00
  5. Step 5: Solve for x
    x = 37,835,235,446.00/224,240
  6. Step 6: Final answer
    x = 168,726.52

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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.