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Finding the Fourth Proportional to 162,164.44, 243,145.97 and 67,460.97

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Solution

The fourth proportional to 162,164.44, 243,145.97 and 67,460.97 is: 101,149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,164.44 : 243,145.97 = 67,460.97 : x
  2. Step 2: Convert to fraction form
    162,164.44/243,145.97 = 67,460.97/x
  3. Step 3: Cross multiply
    162,164.44x = 243,145.97 × 67,460.97
  4. Step 4: Simplify right side
    162,164.44x = 16,402,862,987.79
  5. Step 5: Solve for x
    x = 16,402,862,987.79/162,164.44
  6. Step 6: Final answer
    x = 101,149.57

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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.