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Finding the Fourth Proportional to 184,339.80, 276,509.57 and 51,220

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Solution

The fourth proportional to 184,339.80, 276,509.57 and 51,220 is: 76,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,339.80 : 276,509.57 = 51,220 : x
  2. Step 2: Convert to fraction form
    184,339.80/276,509.57 = 51,220/x
  3. Step 3: Cross multiply
    184,339.80x = 276,509.57 × 51,220
  4. Step 4: Simplify right side
    184,339.80x = 14,162,820,175.40
  5. Step 5: Solve for x
    x = 14,162,820,175.40/184,339.80
  6. Step 6: Final answer
    x = 76,829.96

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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.