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Finding the Fourth Proportional to 182,651.00, 252,061.23 and 102,083.74

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Solution

The fourth proportional to 182,651.00, 252,061.23 and 102,083.74 is: 140,877.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,651.00 : 252,061.23 = 102,083.74 : x
  2. Step 2: Convert to fraction form
    182,651.00/252,061.23 = 102,083.74/x
  3. Step 3: Cross multiply
    182,651.00x = 252,061.23 × 102,083.74
  4. Step 4: Simplify right side
    182,651.00x = 25,731,353,005.57
  5. Step 5: Solve for x
    x = 25,731,353,005.57/182,651.00
  6. Step 6: Final answer
    x = 140,877.16

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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.