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Finding the Fourth Proportional to 260,586.12, 390,942.84 and 83,093.16

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Solution

The fourth proportional to 260,586.12, 390,942.84 and 83,093.16 is: 124,660.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,586.12 : 390,942.84 = 83,093.16 : x
  2. Step 2: Convert to fraction form
    260,586.12/390,942.84 = 83,093.16/x
  3. Step 3: Cross multiply
    260,586.12x = 390,942.84 × 83,093.16
  4. Step 4: Simplify right side
    260,586.12x = 32,484,675,954.97
  5. Step 5: Solve for x
    x = 32,484,675,954.97/260,586.12
  6. Step 6: Final answer
    x = 124,660.04

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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.