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Finding the Fourth Proportional to 275,246.90, 412,870.98 and 75,570.02

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Solution

The fourth proportional to 275,246.90, 412,870.98 and 75,570.02 is: 113,355.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,246.90 : 412,870.98 = 75,570.02 : x
  2. Step 2: Convert to fraction form
    275,246.90/412,870.98 = 75,570.02/x
  3. Step 3: Cross multiply
    275,246.90x = 412,870.98 × 75,570.02
  4. Step 4: Simplify right side
    275,246.90x = 31,200,668,216.02
  5. Step 5: Solve for x
    x = 31,200,668,216.02/275,246.90
  6. Step 6: Final answer
    x = 113,355.20

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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.