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Finding the Fourth Proportional to 152,213.62, 210,051.66 and 84,230.55

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Solution

The fourth proportional to 152,213.62, 210,051.66 and 84,230.55 is: 116,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,213.62 : 210,051.66 = 84,230.55 : x
  2. Step 2: Convert to fraction form
    152,213.62/210,051.66 = 84,230.55/x
  3. Step 3: Cross multiply
    152,213.62x = 210,051.66 × 84,230.55
  4. Step 4: Simplify right side
    152,213.62x = 17,692,766,455.38
  5. Step 5: Solve for x
    x = 17,692,766,455.38/152,213.62
  6. Step 6: Final answer
    x = 116,236.42

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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.