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Finding the Fourth Proportional to 224,477.23, 309,785.10 and 122,509.25

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Solution

The fourth proportional to 224,477.23, 309,785.10 and 122,509.25 is: 169,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,477.23 : 309,785.10 = 122,509.25 : x
  2. Step 2: Convert to fraction form
    224,477.23/309,785.10 = 122,509.25/x
  3. Step 3: Cross multiply
    224,477.23x = 309,785.10 × 122,509.25
  4. Step 4: Simplify right side
    224,477.23x = 37,951,538,713.25
  5. Step 5: Solve for x
    x = 37,951,538,713.25/224,477.23
  6. Step 6: Final answer
    x = 169,066.32

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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.