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Finding the Fourth Proportional to 184,506, 276,759 and 53,178

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Solution

The fourth proportional to 184,506, 276,759 and 53,178 is: 79,767

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,506 : 276,759 = 53,178 : x
  2. Step 2: Convert to fraction form
    184,506/276,759 = 53,178/x
  3. Step 3: Cross multiply
    184,506x = 276,759 × 53,178
  4. Step 4: Simplify right side
    184,506x = 14,717,490,102
  5. Step 5: Solve for x
    x = 14,717,490,102/184,506
  6. Step 6: Final answer
    x = 79,767

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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.