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Finding the Fourth Proportional to 243,802.19, 365,571.79 and 110,609.77

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Solution

The fourth proportional to 243,802.19, 365,571.79 and 110,609.77 is: 165,855.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,802.19 : 365,571.79 = 110,609.77 : x
  2. Step 2: Convert to fraction form
    243,802.19/365,571.79 = 110,609.77/x
  3. Step 3: Cross multiply
    243,802.19x = 365,571.79 × 110,609.77
  4. Step 4: Simplify right side
    243,802.19x = 40,435,811,057.34
  5. Step 5: Solve for x
    x = 40,435,811,057.34/243,802.19
  6. Step 6: Final answer
    x = 165,855.00

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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.