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Finding the Fourth Proportional to 182,822.98, 274,185.26 and 64,478.94

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Solution

The fourth proportional to 182,822.98, 274,185.26 and 64,478.94 is: 96,701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,822.98 : 274,185.26 = 64,478.94 : x
  2. Step 2: Convert to fraction form
    182,822.98/274,185.26 = 64,478.94/x
  3. Step 3: Cross multiply
    182,822.98x = 274,185.26 × 64,478.94
  4. Step 4: Simplify right side
    182,822.98x = 17,679,174,606.03
  5. Step 5: Solve for x
    x = 17,679,174,606.03/182,822.98
  6. Step 6: Final answer
    x = 96,701.05

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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.