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Finding the Fourth Proportional to 135,318, 202,977.84 and 35,477.30

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Solution

The fourth proportional to 135,318, 202,977.84 and 35,477.30 is: 53,216.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,318 : 202,977.84 = 35,477.30 : x
  2. Step 2: Convert to fraction form
    135,318/202,977.84 = 35,477.30/x
  3. Step 3: Cross multiply
    135,318x = 202,977.84 × 35,477.30
  4. Step 4: Simplify right side
    135,318x = 7,201,104,708.14
  5. Step 5: Solve for x
    x = 7,201,104,708.14/135,318
  6. Step 6: Final answer
    x = 53,216.16

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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.