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Finding the Fourth Proportional to 174,802.40, 262,213.36 and 50,140

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Solution

The fourth proportional to 174,802.40, 262,213.36 and 50,140 is: 75,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,802.40 : 262,213.36 = 50,140 : x
  2. Step 2: Convert to fraction form
    174,802.40/262,213.36 = 50,140/x
  3. Step 3: Cross multiply
    174,802.40x = 262,213.36 × 50,140
  4. Step 4: Simplify right side
    174,802.40x = 13,147,377,870.40
  5. Step 5: Solve for x
    x = 13,147,377,870.40/174,802.40
  6. Step 6: Final answer
    x = 75,212.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.