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Finding the Fourth Proportional to 270,615.90, 405,923.85 and 130,388.70

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Solution

The fourth proportional to 270,615.90, 405,923.85 and 130,388.70 is: 195,583.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,615.90 : 405,923.85 = 130,388.70 : x
  2. Step 2: Convert to fraction form
    270,615.90/405,923.85 = 130,388.70/x
  3. Step 3: Cross multiply
    270,615.90x = 405,923.85 × 130,388.70
  4. Step 4: Simplify right side
    270,615.90x = 52,927,883,100.50
  5. Step 5: Solve for x
    x = 52,927,883,100.50/270,615.90
  6. Step 6: Final answer
    x = 195,583.05

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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.