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Finding the Fourth Proportional to 189,099.42, 260,941.02 and 108,525.24

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Solution

The fourth proportional to 189,099.42, 260,941.02 and 108,525.24 is: 149,755.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,099.42 : 260,941.02 = 108,525.24 : x
  2. Step 2: Convert to fraction form
    189,099.42/260,941.02 = 108,525.24/x
  3. Step 3: Cross multiply
    189,099.42x = 260,941.02 × 108,525.24
  4. Step 4: Simplify right side
    189,099.42x = 28,318,686,821.34
  5. Step 5: Solve for x
    x = 28,318,686,821.34/189,099.42
  6. Step 6: Final answer
    x = 149,755.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.