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Finding the Fourth Proportional to 152,893.88, 211,000.57 and 84,911.17

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Solution

The fourth proportional to 152,893.88, 211,000.57 and 84,911.17 is: 117,181.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,893.88 : 211,000.57 = 84,911.17 : x
  2. Step 2: Convert to fraction form
    152,893.88/211,000.57 = 84,911.17/x
  3. Step 3: Cross multiply
    152,893.88x = 211,000.57 × 84,911.17
  4. Step 4: Simplify right side
    152,893.88x = 17,916,304,529.59
  5. Step 5: Solve for x
    x = 17,916,304,529.59/152,893.88
  6. Step 6: Final answer
    x = 117,181.30

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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.