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Finding the Fourth Proportional to 281,566.41, 422,161.94 and 146,298.07

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Solution

The fourth proportional to 281,566.41, 422,161.94 and 146,298.07 is: 219,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,566.41 : 422,161.94 = 146,298.07 : x
  2. Step 2: Convert to fraction form
    281,566.41/422,161.94 = 146,298.07/x
  3. Step 3: Cross multiply
    281,566.41x = 422,161.94 × 146,298.07
  4. Step 4: Simplify right side
    281,566.41x = 61,761,475,568.24
  5. Step 5: Solve for x
    x = 61,761,475,568.24/281,566.41
  6. Step 6: Final answer
    x = 219,349.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.