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Finding the Fourth Proportional to 145,210.80, 217,767.08 and 55,232.15

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Solution

The fourth proportional to 145,210.80, 217,767.08 and 55,232.15 is: 82,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,210.80 : 217,767.08 = 55,232.15 : x
  2. Step 2: Convert to fraction form
    145,210.80/217,767.08 = 55,232.15/x
  3. Step 3: Cross multiply
    145,210.80x = 217,767.08 × 55,232.15
  4. Step 4: Simplify right side
    145,210.80x = 12,027,744,295.88
  5. Step 5: Solve for x
    x = 12,027,744,295.88/145,210.80
  6. Step 6: Final answer
    x = 82,829.54

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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.