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Finding the Fourth Proportional to 161,238.24, 241,859.80 and 61,403.96

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Solution

The fourth proportional to 161,238.24, 241,859.80 and 61,403.96 is: 92,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,238.24 : 241,859.80 = 61,403.96 : x
  2. Step 2: Convert to fraction form
    161,238.24/241,859.80 = 61,403.96/x
  3. Step 3: Cross multiply
    161,238.24x = 241,859.80 × 61,403.96
  4. Step 4: Simplify right side
    161,238.24x = 14,851,149,484.81
  5. Step 5: Solve for x
    x = 14,851,149,484.81/161,238.24
  6. Step 6: Final answer
    x = 92,106.87

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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.