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Finding the Fourth Proportional to 120,887.66, 181,367.71 and 48,803.46

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Solution

The fourth proportional to 120,887.66, 181,367.71 and 48,803.46 is: 73,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,887.66 : 181,367.71 = 48,803.46 : x
  2. Step 2: Convert to fraction form
    120,887.66/181,367.71 = 48,803.46/x
  3. Step 3: Cross multiply
    120,887.66x = 181,367.71 × 48,803.46
  4. Step 4: Simplify right side
    120,887.66x = 8,851,370,978.14
  5. Step 5: Solve for x
    x = 8,851,370,978.14/120,887.66
  6. Step 6: Final answer
    x = 73,219.80

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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.