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Finding the Fourth Proportional to 184,232.10, 276,348.15 and 164,532.90

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Solution

The fourth proportional to 184,232.10, 276,348.15 and 164,532.90 is: 246,799.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,232.10 : 276,348.15 = 164,532.90 : x
  2. Step 2: Convert to fraction form
    184,232.10/276,348.15 = 164,532.90/x
  3. Step 3: Cross multiply
    184,232.10x = 276,348.15 × 164,532.90
  4. Step 4: Simplify right side
    184,232.10x = 45,468,362,529.14
  5. Step 5: Solve for x
    x = 45,468,362,529.14/184,232.10
  6. Step 6: Final answer
    x = 246,799.35

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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.