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Finding the Fourth Proportional to 184,412.10, 276,618.15 and 164,712.90

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Solution

The fourth proportional to 184,412.10, 276,618.15 and 164,712.90 is: 247,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,412.10 : 276,618.15 = 164,712.90 : x
  2. Step 2: Convert to fraction form
    184,412.10/276,618.15 = 164,712.90/x
  3. Step 3: Cross multiply
    184,412.10x = 276,618.15 × 164,712.90
  4. Step 4: Simplify right side
    184,412.10x = 45,562,577,679.14
  5. Step 5: Solve for x
    x = 45,562,577,679.14/184,412.10
  6. Step 6: Final answer
    x = 247,069.35

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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.