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Finding the Fourth Proportional to 281,368.46, 422,060.22 and 91,840.34

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Solution

The fourth proportional to 281,368.46, 422,060.22 and 91,840.34 is: 137,762.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,368.46 : 422,060.22 = 91,840.34 : x
  2. Step 2: Convert to fraction form
    281,368.46/422,060.22 = 91,840.34/x
  3. Step 3: Cross multiply
    281,368.46x = 422,060.22 × 91,840.34
  4. Step 4: Simplify right side
    281,368.46x = 38,762,155,160.43
  5. Step 5: Solve for x
    x = 38,762,155,160.43/281,368.46
  6. Step 6: Final answer
    x = 137,762.97

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Why These Related Problems?

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