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Finding the Fourth Proportional to 102,215.40, 153,343.16 and 35,657.70

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Solution

The fourth proportional to 102,215.40, 153,343.16 and 35,657.70 is: 53,493.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,215.40 : 153,343.16 = 35,657.70 : x
  2. Step 2: Convert to fraction form
    102,215.40/153,343.16 = 35,657.70/x
  3. Step 3: Cross multiply
    102,215.40x = 153,343.16 × 35,657.70
  4. Step 4: Simplify right side
    102,215.40x = 5,467,864,218.04
  5. Step 5: Solve for x
    x = 5,467,864,218.04/102,215.40
  6. Step 6: Final answer
    x = 53,493.55

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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.