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Finding the Fourth Proportional to 260,065.40, 390,098.10 and 171,491.90

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Solution

The fourth proportional to 260,065.40, 390,098.10 and 171,491.90 is: 257,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,065.40 : 390,098.10 = 171,491.90 : x
  2. Step 2: Convert to fraction form
    260,065.40/390,098.10 = 171,491.90/x
  3. Step 3: Cross multiply
    260,065.40x = 390,098.10 × 171,491.90
  4. Step 4: Simplify right side
    260,065.40x = 66,898,664,355.39
  5. Step 5: Solve for x
    x = 66,898,664,355.39/260,065.40
  6. Step 6: Final answer
    x = 257,237.85

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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.