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Finding the Fourth Proportional to 135,153, 202,730.22 and 36,657

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Solution

The fourth proportional to 135,153, 202,730.22 and 36,657 is: 54,985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,153 : 202,730.22 = 36,657 : x
  2. Step 2: Convert to fraction form
    135,153/202,730.22 = 36,657/x
  3. Step 3: Cross multiply
    135,153x = 202,730.22 × 36,657
  4. Step 4: Simplify right side
    135,153x = 7,431,481,674.54
  5. Step 5: Solve for x
    x = 7,431,481,674.54/135,153
  6. Step 6: Final answer
    x = 54,985.70

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Why These Related Problems?

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