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Finding the Fourth Proportional to 133,874.08, 184,714.52 and 75,732.14

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Solution

The fourth proportional to 133,874.08, 184,714.52 and 75,732.14 is: 104,492.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,874.08 : 184,714.52 = 75,732.14 : x
  2. Step 2: Convert to fraction form
    133,874.08/184,714.52 = 75,732.14/x
  3. Step 3: Cross multiply
    133,874.08x = 184,714.52 × 75,732.14
  4. Step 4: Simplify right side
    133,874.08x = 13,988,825,888.67
  5. Step 5: Solve for x
    x = 13,988,825,888.67/133,874.08
  6. Step 6: Final answer
    x = 104,492.41

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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.