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Finding the Fourth Proportional to 223,717.46, 308,730.14 and 123,115.46

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Solution

The fourth proportional to 223,717.46, 308,730.14 and 123,115.46 is: 169,899.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,717.46 : 308,730.14 = 123,115.46 : x
  2. Step 2: Convert to fraction form
    223,717.46/308,730.14 = 123,115.46/x
  3. Step 3: Cross multiply
    223,717.46x = 308,730.14 × 123,115.46
  4. Step 4: Simplify right side
    223,717.46x = 38,009,451,042.74
  5. Step 5: Solve for x
    x = 38,009,451,042.74/223,717.46
  6. Step 6: Final answer
    x = 169,899.35

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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.