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Finding the Fourth Proportional to 184,175, 276,262.58 and 82,854.71

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Solution

The fourth proportional to 184,175, 276,262.58 and 82,854.71 is: 124,282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,175 : 276,262.58 = 82,854.71 : x
  2. Step 2: Convert to fraction form
    184,175/276,262.58 = 82,854.71/x
  3. Step 3: Cross multiply
    184,175x = 276,262.58 × 82,854.71
  4. Step 4: Simplify right side
    184,175x = 22,889,655,949.75
  5. Step 5: Solve for x
    x = 22,889,655,949.75/184,175
  6. Step 6: Final answer
    x = 124,282.10

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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.