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Finding the Fourth Proportional to 230,802.60, 345,858.30 and 195,551.40

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Solution

The fourth proportional to 230,802.60, 345,858.30 and 195,551.40 is: 293,034.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,802.60 : 345,858.30 = 195,551.40 : x
  2. Step 2: Convert to fraction form
    230,802.60/345,858.30 = 195,551.40/x
  3. Step 3: Cross multiply
    230,802.60x = 345,858.30 × 195,551.40
  4. Step 4: Simplify right side
    230,802.60x = 67,633,074,766.62
  5. Step 5: Solve for x
    x = 67,633,074,766.62/230,802.60
  6. Step 6: Final answer
    x = 293,034.28

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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.