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Finding the Fourth Proportional to 195,903.76, 294,026.64 and 111,832.24

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Solution

The fourth proportional to 195,903.76, 294,026.64 and 111,832.24 is: 167,845.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,903.76 : 294,026.64 = 111,832.24 : x
  2. Step 2: Convert to fraction form
    195,903.76/294,026.64 = 111,832.24/x
  3. Step 3: Cross multiply
    195,903.76x = 294,026.64 × 111,832.24
  4. Step 4: Simplify right side
    195,903.76x = 32,881,657,770.87
  5. Step 5: Solve for x
    x = 32,881,657,770.87/195,903.76
  6. Step 6: Final answer
    x = 167,845.98

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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.