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Finding the Fourth Proportional to 171,489.34, 257,271.60 and 57,633.07

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Solution

The fourth proportional to 171,489.34, 257,271.60 and 57,633.07 is: 86,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,489.34 : 257,271.60 = 57,633.07 : x
  2. Step 2: Convert to fraction form
    171,489.34/257,271.60 = 57,633.07/x
  3. Step 3: Cross multiply
    171,489.34x = 257,271.60 × 57,633.07
  4. Step 4: Simplify right side
    171,489.34x = 14,827,352,131.81
  5. Step 5: Solve for x
    x = 14,827,352,131.81/171,489.34
  6. Step 6: Final answer
    x = 86,462.24

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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.