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Finding the Fourth Proportional to 184,064.80, 276,097.20 and 164,819.20

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Solution

The fourth proportional to 184,064.80, 276,097.20 and 164,819.20 is: 247,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,064.80 : 276,097.20 = 164,819.20 : x
  2. Step 2: Convert to fraction form
    184,064.80/276,097.20 = 164,819.20/x
  3. Step 3: Cross multiply
    184,064.80x = 276,097.20 × 164,819.20
  4. Step 4: Simplify right side
    184,064.80x = 45,506,119,626.24
  5. Step 5: Solve for x
    x = 45,506,119,626.24/184,064.80
  6. Step 6: Final answer
    x = 247,228.80

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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.