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Finding the Fourth Proportional to 189,065.21, 260,906.62 and 103,024.94

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Solution

The fourth proportional to 189,065.21, 260,906.62 and 103,024.94 is: 142,172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,065.21 : 260,906.62 = 103,024.94 : x
  2. Step 2: Convert to fraction form
    189,065.21/260,906.62 = 103,024.94/x
  3. Step 3: Cross multiply
    189,065.21x = 260,906.62 × 103,024.94
  4. Step 4: Simplify right side
    189,065.21x = 26,879,887,942.81
  5. Step 5: Solve for x
    x = 26,879,887,942.81/189,065.21
  6. Step 6: Final answer
    x = 142,172.58

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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.