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Finding the Fourth Proportional to 123,157.88, 184,747.16 and 34,412.26

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Solution

The fourth proportional to 123,157.88, 184,747.16 and 34,412.26 is: 51,621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,157.88 : 184,747.16 = 34,412.26 : x
  2. Step 2: Convert to fraction form
    123,157.88/184,747.16 = 34,412.26/x
  3. Step 3: Cross multiply
    123,157.88x = 184,747.16 × 34,412.26
  4. Step 4: Simplify right side
    123,157.88x = 6,357,567,304.18
  5. Step 5: Solve for x
    x = 6,357,567,304.18/123,157.88
  6. Step 6: Final answer
    x = 51,621.28

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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.