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Finding the Fourth Proportional to 260,096.96, 390,224.08 and 184,342

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Solution

The fourth proportional to 260,096.96, 390,224.08 and 184,342 is: 276,568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,096.96 : 390,224.08 = 184,342 : x
  2. Step 2: Convert to fraction form
    260,096.96/390,224.08 = 184,342/x
  3. Step 3: Cross multiply
    260,096.96x = 390,224.08 × 184,342
  4. Step 4: Simplify right side
    260,096.96x = 71,934,687,355.36
  5. Step 5: Solve for x
    x = 71,934,687,355.36/260,096.96
  6. Step 6: Final answer
    x = 276,568.74

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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.