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Finding the Fourth Proportional to 203,762, 281,217.48 and 114,338

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Solution

The fourth proportional to 203,762, 281,217.48 and 114,338 is: 157,800.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,762 : 281,217.48 = 114,338 : x
  2. Step 2: Convert to fraction form
    203,762/281,217.48 = 114,338/x
  3. Step 3: Cross multiply
    203,762x = 281,217.48 × 114,338
  4. Step 4: Simplify right side
    203,762x = 32,153,844,228.24
  5. Step 5: Solve for x
    x = 32,153,844,228.24/203,762
  6. Step 6: Final answer
    x = 157,800.98

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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.