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Finding the Fourth Proportional to 123,094.74, 184,642.10 and 95,055.68

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Solution

The fourth proportional to 123,094.74, 184,642.10 and 95,055.68 is: 142,583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,094.74 : 184,642.10 = 95,055.68 : x
  2. Step 2: Convert to fraction form
    123,094.74/184,642.10 = 95,055.68/x
  3. Step 3: Cross multiply
    123,094.74x = 184,642.10 × 95,055.68
  4. Step 4: Simplify right side
    123,094.74x = 17,551,280,372.13
  5. Step 5: Solve for x
    x = 17,551,280,372.13/123,094.74
  6. Step 6: Final answer
    x = 142,583.51

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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.