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Finding the Fourth Proportional to 141,954, 212,967 and 53,207.76

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Solution

The fourth proportional to 141,954, 212,967 and 53,207.76 is: 79,825.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,954 : 212,967 = 53,207.76 : x
  2. Step 2: Convert to fraction form
    141,954/212,967 = 53,207.76/x
  3. Step 3: Cross multiply
    141,954x = 212,967 × 53,207.76
  4. Step 4: Simplify right side
    141,954x = 11,331,497,023.92
  5. Step 5: Solve for x
    x = 11,331,497,023.92/141,954
  6. Step 6: Final answer
    x = 79,825.13

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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.