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Finding the Fourth Proportional to 260,117.44, 390,099.20 and 110,355.84

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Solution

The fourth proportional to 260,117.44, 390,099.20 and 110,355.84 is: 165,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,117.44 : 390,099.20 = 110,355.84 : x
  2. Step 2: Convert to fraction form
    260,117.44/390,099.20 = 110,355.84/x
  3. Step 3: Cross multiply
    260,117.44x = 390,099.20 × 110,355.84
  4. Step 4: Simplify right side
    260,117.44x = 43,049,724,899.33
  5. Step 5: Solve for x
    x = 43,049,724,899.33/260,117.44
  6. Step 6: Final answer
    x = 165,501.11

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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.