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Finding the Fourth Proportional to 182,305, 251,580.90 and 102,832.36

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Solution

The fourth proportional to 182,305, 251,580.90 and 102,832.36 is: 141,908.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,305 : 251,580.90 = 102,832.36 : x
  2. Step 2: Convert to fraction form
    182,305/251,580.90 = 102,832.36/x
  3. Step 3: Cross multiply
    182,305x = 251,580.90 × 102,832.36
  4. Step 4: Simplify right side
    182,305x = 25,870,657,677.92
  5. Step 5: Solve for x
    x = 25,870,657,677.92/182,305
  6. Step 6: Final answer
    x = 141,908.66

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1.5x scale

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.