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Finding the Fourth Proportional to 182,782.89, 252,263.84 and 102,214.89

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Solution

The fourth proportional to 182,782.89, 252,263.84 and 102,214.89 is: 141,069.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,782.89 : 252,263.84 = 102,214.89 : x
  2. Step 2: Convert to fraction form
    182,782.89/252,263.84 = 102,214.89/x
  3. Step 3: Cross multiply
    182,782.89x = 252,263.84 × 102,214.89
  4. Step 4: Simplify right side
    182,782.89x = 25,785,120,145.50
  5. Step 5: Solve for x
    x = 25,785,120,145.50/182,782.89
  6. Step 6: Final answer
    x = 141,069.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.