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Finding the Fourth Proportional to 161,605.94, 242,408.97 and 77,346.27

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Solution

The fourth proportional to 161,605.94, 242,408.97 and 77,346.27 is: 116,019.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,605.94 : 242,408.97 = 77,346.27 : x
  2. Step 2: Convert to fraction form
    161,605.94/242,408.97 = 77,346.27/x
  3. Step 3: Cross multiply
    161,605.94x = 242,408.97 × 77,346.27
  4. Step 4: Simplify right side
    161,605.94x = 18,749,429,644.04
  5. Step 5: Solve for x
    x = 18,749,429,644.04/161,605.94
  6. Step 6: Final answer
    x = 116,019.44

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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.