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Finding the Fourth Proportional to 145,216.10, 217,532.55 and 82,813.70

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Solution

The fourth proportional to 145,216.10, 217,532.55 and 82,813.70 is: 124,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,216.10 : 217,532.55 = 82,813.70 : x
  2. Step 2: Convert to fraction form
    145,216.10/217,532.55 = 82,813.70/x
  3. Step 3: Cross multiply
    145,216.10x = 217,532.55 × 82,813.70
  4. Step 4: Simplify right side
    145,216.10x = 18,014,675,335.94
  5. Step 5: Solve for x
    x = 18,014,675,335.94/145,216.10
  6. Step 6: Final answer
    x = 124,054.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.