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Finding the Fourth Proportional to 184,199, 276,298.50 and 59,540

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Solution

The fourth proportional to 184,199, 276,298.50 and 59,540 is: 89,310

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,199 : 276,298.50 = 59,540 : x
  2. Step 2: Convert to fraction form
    184,199/276,298.50 = 59,540/x
  3. Step 3: Cross multiply
    184,199x = 276,298.50 × 59,540
  4. Step 4: Simplify right side
    184,199x = 16,450,812,690
  5. Step 5: Solve for x
    x = 16,450,812,690/184,199
  6. Step 6: Final answer
    x = 89,310

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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.