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Finding the Fourth Proportional to 375,633.25, 563,200.72 and 122,825.16

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Solution

The fourth proportional to 375,633.25, 563,200.72 and 122,825.16 is: 184,156.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,633.25 : 563,200.72 = 122,825.16 : x
  2. Step 2: Convert to fraction form
    375,633.25/563,200.72 = 122,825.16/x
  3. Step 3: Cross multiply
    375,633.25x = 563,200.72 × 122,825.16
  4. Step 4: Simplify right side
    375,633.25x = 69,175,218,239.05
  5. Step 5: Solve for x
    x = 69,175,218,239.05/375,633.25
  6. Step 6: Final answer
    x = 184,156.27

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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.