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Finding the Fourth Proportional to 174,741.20, 262,111.80 and 171,825.20

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Solution

The fourth proportional to 174,741.20, 262,111.80 and 171,825.20 is: 257,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,741.20 : 262,111.80 = 171,825.20 : x
  2. Step 2: Convert to fraction form
    174,741.20/262,111.80 = 171,825.20/x
  3. Step 3: Cross multiply
    174,741.20x = 262,111.80 × 171,825.20
  4. Step 4: Simplify right side
    174,741.20x = 45,037,412,457.36
  5. Step 5: Solve for x
    x = 45,037,412,457.36/174,741.20
  6. Step 6: Final answer
    x = 257,737.80

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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.