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Finding the Fourth Proportional to 260,038.20, 390,057.30 and 171,391.80

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Solution

The fourth proportional to 260,038.20, 390,057.30 and 171,391.80 is: 257,087.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,038.20 : 390,057.30 = 171,391.80 : x
  2. Step 2: Convert to fraction form
    260,038.20/390,057.30 = 171,391.80/x
  3. Step 3: Cross multiply
    260,038.20x = 390,057.30 × 171,391.80
  4. Step 4: Simplify right side
    260,038.20x = 66,852,622,750.14
  5. Step 5: Solve for x
    x = 66,852,622,750.14/260,038.20
  6. Step 6: Final answer
    x = 257,087.70

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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.