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Finding the Fourth Proportional to 260,038.40, 389,750.40 and 110,278.40

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Solution

The fourth proportional to 260,038.40, 389,750.40 and 110,278.40 is: 165,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,038.40 : 389,750.40 = 110,278.40 : x
  2. Step 2: Convert to fraction form
    260,038.40/389,750.40 = 110,278.40/x
  3. Step 3: Cross multiply
    260,038.40x = 389,750.40 × 110,278.40
  4. Step 4: Simplify right side
    260,038.40x = 42,981,050,511.36
  5. Step 5: Solve for x
    x = 42,981,050,511.36/260,038.40
  6. Step 6: Final answer
    x = 165,287.32

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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.