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Finding the Fourth Proportional to 120,971.80, 181,457.70 and 92,945.80

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Solution

The fourth proportional to 120,971.80, 181,457.70 and 92,945.80 is: 139,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,971.80 : 181,457.70 = 92,945.80 : x
  2. Step 2: Convert to fraction form
    120,971.80/181,457.70 = 92,945.80/x
  3. Step 3: Cross multiply
    120,971.80x = 181,457.70 × 92,945.80
  4. Step 4: Simplify right side
    120,971.80x = 16,865,731,092.66
  5. Step 5: Solve for x
    x = 16,865,731,092.66/120,971.80
  6. Step 6: Final answer
    x = 139,418.70

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1.5x scale

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.