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Finding the Fourth Proportional to 182,535, 273,802.50 and 57,876

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Solution

The fourth proportional to 182,535, 273,802.50 and 57,876 is: 86,814

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,535 : 273,802.50 = 57,876 : x
  2. Step 2: Convert to fraction form
    182,535/273,802.50 = 57,876/x
  3. Step 3: Cross multiply
    182,535x = 273,802.50 × 57,876
  4. Step 4: Simplify right side
    182,535x = 15,846,593,490
  5. Step 5: Solve for x
    x = 15,846,593,490/182,535
  6. Step 6: Final answer
    x = 86,814

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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.