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Finding the Fourth Proportional to 182,175, 273,262.50 and 57,516

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Solution

The fourth proportional to 182,175, 273,262.50 and 57,516 is: 86,274

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,175 : 273,262.50 = 57,516 : x
  2. Step 2: Convert to fraction form
    182,175/273,262.50 = 57,516/x
  3. Step 3: Cross multiply
    182,175x = 273,262.50 × 57,516
  4. Step 4: Simplify right side
    182,175x = 15,716,965,950
  5. Step 5: Solve for x
    x = 15,716,965,950/182,175
  6. Step 6: Final answer
    x = 86,274

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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.