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Finding the Fourth Proportional to 162,415.29, 243,649.22 and 50,069.24

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Solution

The fourth proportional to 162,415.29, 243,649.22 and 50,069.24 is: 75,111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,415.29 : 243,649.22 = 50,069.24 : x
  2. Step 2: Convert to fraction form
    162,415.29/243,649.22 = 50,069.24/x
  3. Step 3: Cross multiply
    162,415.29x = 243,649.22 × 50,069.24
  4. Step 4: Simplify right side
    162,415.29x = 12,199,330,717.09
  5. Step 5: Solve for x
    x = 12,199,330,717.09/162,415.29
  6. Step 6: Final answer
    x = 75,111.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.