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Finding the Fourth Proportional to 123,096, 184,643.64 and 95,057.04

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Solution

The fourth proportional to 123,096, 184,643.64 and 95,057.04 is: 142,585.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,096 : 184,643.64 = 95,057.04 : x
  2. Step 2: Convert to fraction form
    123,096/184,643.64 = 95,057.04/x
  3. Step 3: Cross multiply
    123,096x = 184,643.64 × 95,057.04
  4. Step 4: Simplify right side
    123,096x = 17,551,677,873.23
  5. Step 5: Solve for x
    x = 17,551,677,873.23/123,096
  6. Step 6: Final answer
    x = 142,585.28

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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.