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Finding the Fourth Proportional to 135,322.10, 202,983.15 and 130,138.10

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Solution

The fourth proportional to 135,322.10, 202,983.15 and 130,138.10 is: 195,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,322.10 : 202,983.15 = 130,138.10 : x
  2. Step 2: Convert to fraction form
    135,322.10/202,983.15 = 130,138.10/x
  3. Step 3: Cross multiply
    135,322.10x = 202,983.15 × 130,138.10
  4. Step 4: Simplify right side
    135,322.10x = 26,415,841,473.02
  5. Step 5: Solve for x
    x = 26,415,841,473.02/135,322.10
  6. Step 6: Final answer
    x = 195,207.15

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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.