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Finding the Fourth Proportional to 203,856.64, 281,325.44 and 114,430.72

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Solution

The fourth proportional to 203,856.64, 281,325.44 and 114,430.72 is: 157,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,856.64 : 281,325.44 = 114,430.72 : x
  2. Step 2: Convert to fraction form
    203,856.64/281,325.44 = 114,430.72/x
  3. Step 3: Cross multiply
    203,856.64x = 281,325.44 × 114,430.72
  4. Step 4: Simplify right side
    203,856.64x = 32,192,272,653.52
  5. Step 5: Solve for x
    x = 32,192,272,653.52/203,856.64
  6. Step 6: Final answer
    x = 157,916.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.