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Finding the Fourth Proportional to 102,216.20, 153,349.81 and 35,656.88

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Solution

The fourth proportional to 102,216.20, 153,349.81 and 35,656.88 is: 53,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,216.20 : 153,349.81 = 35,656.88 : x
  2. Step 2: Convert to fraction form
    102,216.20/153,349.81 = 35,656.88/x
  3. Step 3: Cross multiply
    102,216.20x = 153,349.81 × 35,656.88
  4. Step 4: Simplify right side
    102,216.20x = 5,467,974,917.30
  5. Step 5: Solve for x
    x = 5,467,974,917.30/102,216.20
  6. Step 6: Final answer
    x = 53,494.21

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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.