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Finding the Fourth Proportional to 141,874.64, 212,848.68 and 53,135.12

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Solution

The fourth proportional to 141,874.64, 212,848.68 and 53,135.12 is: 79,716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,874.64 : 212,848.68 = 53,135.12 : x
  2. Step 2: Convert to fraction form
    141,874.64/212,848.68 = 53,135.12/x
  3. Step 3: Cross multiply
    141,874.64x = 212,848.68 × 53,135.12
  4. Step 4: Simplify right side
    141,874.64x = 11,309,740,153.64
  5. Step 5: Solve for x
    x = 11,309,740,153.64/141,874.64
  6. Step 6: Final answer
    x = 79,716.43

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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.