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Finding the Fourth Proportional to 152,753.24, 210,815.03 and 84,770.68

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Solution

The fourth proportional to 152,753.24, 210,815.03 and 84,770.68 is: 116,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,753.24 : 210,815.03 = 84,770.68 : x
  2. Step 2: Convert to fraction form
    152,753.24/210,815.03 = 84,770.68/x
  3. Step 3: Cross multiply
    152,753.24x = 210,815.03 × 84,770.68
  4. Step 4: Simplify right side
    152,753.24x = 17,870,933,447.32
  5. Step 5: Solve for x
    x = 17,870,933,447.32/152,753.24
  6. Step 6: Final answer
    x = 116,992.17

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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.