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Finding the Fourth Proportional to 120,697.17, 181,043.63 and 49,652.48

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Solution

The fourth proportional to 120,697.17, 181,043.63 and 49,652.48 is: 74,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,697.17 : 181,043.63 = 49,652.48 : x
  2. Step 2: Convert to fraction form
    120,697.17/181,043.63 = 49,652.48/x
  3. Step 3: Cross multiply
    120,697.17x = 181,043.63 × 49,652.48
  4. Step 4: Simplify right side
    120,697.17x = 8,989,264,064.22
  5. Step 5: Solve for x
    x = 8,989,264,064.22/120,697.17
  6. Step 6: Final answer
    x = 74,477.84

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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.