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Finding the Fourth Proportional to 275,281.60, 412,825.20 and 97,794.40

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Solution

The fourth proportional to 275,281.60, 412,825.20 and 97,794.40 is: 146,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,281.60 : 412,825.20 = 97,794.40 : x
  2. Step 2: Convert to fraction form
    275,281.60/412,825.20 = 97,794.40/x
  3. Step 3: Cross multiply
    275,281.60x = 412,825.20 × 97,794.40
  4. Step 4: Simplify right side
    275,281.60x = 40,371,992,738.88
  5. Step 5: Solve for x
    x = 40,371,992,738.88/275,281.60
  6. Step 6: Final answer
    x = 146,657.07

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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.