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Finding the Fourth Proportional to 161,894.16, 242,870.46 and 73,189.44

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Solution

The fourth proportional to 161,894.16, 242,870.46 and 73,189.44 is: 109,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,894.16 : 242,870.46 = 73,189.44 : x
  2. Step 2: Convert to fraction form
    161,894.16/242,870.46 = 73,189.44/x
  3. Step 3: Cross multiply
    161,894.16x = 242,870.46 × 73,189.44
  4. Step 4: Simplify right side
    161,894.16x = 17,775,552,959.94
  5. Step 5: Solve for x
    x = 17,775,552,959.94/161,894.16
  6. Step 6: Final answer
    x = 109,797.37

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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.