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Finding the Fourth Proportional to 280,997.90, 421,299.72 and 103,482.16

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Solution

The fourth proportional to 280,997.90, 421,299.72 and 103,482.16 is: 155,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,997.90 : 421,299.72 = 103,482.16 : x
  2. Step 2: Convert to fraction form
    280,997.90/421,299.72 = 103,482.16/x
  3. Step 3: Cross multiply
    280,997.90x = 421,299.72 × 103,482.16
  4. Step 4: Simplify right side
    280,997.90x = 43,597,005,033.00
  5. Step 5: Solve for x
    x = 43,597,005,033.00/280,997.90
  6. Step 6: Final answer
    x = 155,150.64

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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.