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Finding the Fourth Proportional to 203,553, 280,903.14 and 114,129

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Solution

The fourth proportional to 203,553, 280,903.14 and 114,129 is: 157,498.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,553 : 280,903.14 = 114,129 : x
  2. Step 2: Convert to fraction form
    203,553/280,903.14 = 114,129/x
  3. Step 3: Cross multiply
    203,553x = 280,903.14 × 114,129
  4. Step 4: Simplify right side
    203,553x = 32,059,194,465.06
  5. Step 5: Solve for x
    x = 32,059,194,465.06/203,553
  6. Step 6: Final answer
    x = 157,498.02

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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.