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Finding the Fourth Proportional to 281,954.52, 423,019.44 and 92,416.56

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Solution

The fourth proportional to 281,954.52, 423,019.44 and 92,416.56 is: 138,653.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,954.52 : 423,019.44 = 92,416.56 : x
  2. Step 2: Convert to fraction form
    281,954.52/423,019.44 = 92,416.56/x
  3. Step 3: Cross multiply
    281,954.52x = 423,019.44 × 92,416.56
  4. Step 4: Simplify right side
    281,954.52x = 39,094,001,457.93
  5. Step 5: Solve for x
    x = 39,094,001,457.93/281,954.52
  6. Step 6: Final answer
    x = 138,653.57

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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.