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Finding the Fourth Proportional to 184,219.19, 254,220.68 and 102,546.15

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Solution

The fourth proportional to 184,219.19, 254,220.68 and 102,546.15 is: 141,512.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,219.19 : 254,220.68 = 102,546.15 : x
  2. Step 2: Convert to fraction form
    184,219.19/254,220.68 = 102,546.15/x
  3. Step 3: Cross multiply
    184,219.19x = 254,220.68 × 102,546.15
  4. Step 4: Simplify right side
    184,219.19x = 26,069,351,984.38
  5. Step 5: Solve for x
    x = 26,069,351,984.38/184,219.19
  6. Step 6: Final answer
    x = 141,512.68

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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.