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Finding the Fourth Proportional to 182,853.80, 274,389.66 and 81,643.98

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Solution

The fourth proportional to 182,853.80, 274,389.66 and 81,643.98 is: 122,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,853.80 : 274,389.66 = 81,643.98 : x
  2. Step 2: Convert to fraction form
    182,853.80/274,389.66 = 81,643.98/x
  3. Step 3: Cross multiply
    182,853.80x = 274,389.66 × 81,643.98
  4. Step 4: Simplify right side
    182,853.80x = 22,402,263,913.25
  5. Step 5: Solve for x
    x = 22,402,263,913.25/182,853.80
  6. Step 6: Final answer
    x = 122,514.62

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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.