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Finding the Fourth Proportional to 260,174.96, 390,217.08 and 73,142

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Solution

The fourth proportional to 260,174.96, 390,217.08 and 73,142 is: 109,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,174.96 : 390,217.08 = 73,142 : x
  2. Step 2: Convert to fraction form
    260,174.96/390,217.08 = 73,142/x
  3. Step 3: Cross multiply
    260,174.96x = 390,217.08 × 73,142
  4. Step 4: Simplify right side
    260,174.96x = 28,541,257,665.36
  5. Step 5: Solve for x
    x = 28,541,257,665.36/260,174.96
  6. Step 6: Final answer
    x = 109,700.25

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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.