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Finding the Fourth Proportional to 182,898.95, 252,410.34 and 102,321.66

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Solution

The fourth proportional to 182,898.95, 252,410.34 and 102,321.66 is: 141,209.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,898.95 : 252,410.34 = 102,321.66 : x
  2. Step 2: Convert to fraction form
    182,898.95/252,410.34 = 102,321.66/x
  3. Step 3: Cross multiply
    182,898.95x = 252,410.34 × 102,321.66
  4. Step 4: Simplify right side
    182,898.95x = 25,827,044,989.96
  5. Step 5: Solve for x
    x = 25,827,044,989.96/182,898.95
  6. Step 6: Final answer
    x = 141,209.37

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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.