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Finding the Fourth Proportional to 152,298.96, 210,173.04 and 82,448.24

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Solution

The fourth proportional to 152,298.96, 210,173.04 and 82,448.24 is: 113,778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,298.96 : 210,173.04 = 82,448.24 : x
  2. Step 2: Convert to fraction form
    152,298.96/210,173.04 = 82,448.24/x
  3. Step 3: Cross multiply
    152,298.96x = 210,173.04 × 82,448.24
  4. Step 4: Simplify right side
    152,298.96x = 17,328,397,243.45
  5. Step 5: Solve for x
    x = 17,328,397,243.45/152,298.96
  6. Step 6: Final answer
    x = 113,778.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.