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Finding the Fourth Proportional to 243,802.06, 365,571.60 and 110,609.64

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Solution

The fourth proportional to 243,802.06, 365,571.60 and 110,609.64 is: 165,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,802.06 : 365,571.60 = 110,609.64 : x
  2. Step 2: Convert to fraction form
    243,802.06/365,571.60 = 110,609.64/x
  3. Step 3: Cross multiply
    243,802.06x = 365,571.60 × 110,609.64
  4. Step 4: Simplify right side
    243,802.06x = 40,435,743,070.22
  5. Step 5: Solve for x
    x = 40,435,743,070.22/243,802.06
  6. Step 6: Final answer
    x = 165,854.80

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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.