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Finding the Fourth Proportional to 182,500, 273,750.68 and 56,139.40

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Solution

The fourth proportional to 182,500, 273,750.68 and 56,139.40 is: 84,209.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,500 : 273,750.68 = 56,139.40 : x
  2. Step 2: Convert to fraction form
    182,500/273,750.68 = 56,139.40/x
  3. Step 3: Cross multiply
    182,500x = 273,750.68 × 56,139.40
  4. Step 4: Simplify right side
    182,500x = 15,368,198,924.79
  5. Step 5: Solve for x
    x = 15,368,198,924.79/182,500
  6. Step 6: Final answer
    x = 84,209.31

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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.