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Finding the Fourth Proportional to 295,019.20, 407,021.50 and 174,100

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Solution

The fourth proportional to 295,019.20, 407,021.50 and 174,100 is: 240,196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,019.20 : 407,021.50 = 174,100 : x
  2. Step 2: Convert to fraction form
    295,019.20/407,021.50 = 174,100/x
  3. Step 3: Cross multiply
    295,019.20x = 407,021.50 × 174,100
  4. Step 4: Simplify right side
    295,019.20x = 70,862,443,150
  5. Step 5: Solve for x
    x = 70,862,443,150/295,019.20
  6. Step 6: Final answer
    x = 240,196.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.