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Finding the Fourth Proportional to 184,466, 254,563.08 and 104,978

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Solution

The fourth proportional to 184,466, 254,563.08 and 104,978 is: 144,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,466 : 254,563.08 = 104,978 : x
  2. Step 2: Convert to fraction form
    184,466/254,563.08 = 104,978/x
  3. Step 3: Cross multiply
    184,466x = 254,563.08 × 104,978
  4. Step 4: Simplify right side
    184,466x = 26,723,523,012.24
  5. Step 5: Solve for x
    x = 26,723,523,012.24/184,466
  6. Step 6: Final answer
    x = 144,869.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.