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Finding the Fourth Proportional to 135,152, 202,728.72 and 36,656

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Solution

The fourth proportional to 135,152, 202,728.72 and 36,656 is: 54,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,152 : 202,728.72 = 36,656 : x
  2. Step 2: Convert to fraction form
    135,152/202,728.72 = 36,656/x
  3. Step 3: Cross multiply
    135,152x = 202,728.72 × 36,656
  4. Step 4: Simplify right side
    135,152x = 7,431,223,960.32
  5. Step 5: Solve for x
    x = 7,431,223,960.32/135,152
  6. Step 6: Final answer
    x = 54,984.20

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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.