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Finding the Fourth Proportional to 145,453.50, 200,728.26 and 95,152.50

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Solution

The fourth proportional to 145,453.50, 200,728.26 and 95,152.50 is: 131,312.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,453.50 : 200,728.26 = 95,152.50 : x
  2. Step 2: Convert to fraction form
    145,453.50/200,728.26 = 95,152.50/x
  3. Step 3: Cross multiply
    145,453.50x = 200,728.26 × 95,152.50
  4. Step 4: Simplify right side
    145,453.50x = 19,099,795,759.65
  5. Step 5: Solve for x
    x = 19,099,795,759.65/145,453.50
  6. Step 6: Final answer
    x = 131,312.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.