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Finding the Fourth Proportional to 275,405.84, 413,150.37 and 97,870.64

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Solution

The fourth proportional to 275,405.84, 413,150.37 and 97,870.64 is: 146,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,405.84 : 413,150.37 = 97,870.64 : x
  2. Step 2: Convert to fraction form
    275,405.84/413,150.37 = 97,870.64/x
  3. Step 3: Cross multiply
    275,405.84x = 413,150.37 × 97,870.64
  4. Step 4: Simplify right side
    275,405.84x = 40,435,292,161.01
  5. Step 5: Solve for x
    x = 40,435,292,161.01/275,405.84
  6. Step 6: Final answer
    x = 146,820.75

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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.