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Finding the Fourth Proportional to 171,741.36, 257,643.72 and 53,405.04

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Solution

The fourth proportional to 171,741.36, 257,643.72 and 53,405.04 is: 80,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,741.36 : 257,643.72 = 53,405.04 : x
  2. Step 2: Convert to fraction form
    171,741.36/257,643.72 = 53,405.04/x
  3. Step 3: Cross multiply
    171,741.36x = 257,643.72 × 53,405.04
  4. Step 4: Simplify right side
    171,741.36x = 13,759,473,172.35
  5. Step 5: Solve for x
    x = 13,759,473,172.35/171,741.36
  6. Step 6: Final answer
    x = 80,117.41

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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.