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Finding the Fourth Proportional to 171,695.40, 257,562.30 and 53,365.80

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Solution

The fourth proportional to 171,695.40, 257,562.30 and 53,365.80 is: 80,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,695.40 : 257,562.30 = 53,365.80 : x
  2. Step 2: Convert to fraction form
    171,695.40/257,562.30 = 53,365.80/x
  3. Step 3: Cross multiply
    171,695.40x = 257,562.30 × 53,365.80
  4. Step 4: Simplify right side
    171,695.40x = 13,745,018,189.34
  5. Step 5: Solve for x
    x = 13,745,018,189.34/171,695.40
  6. Step 6: Final answer
    x = 80,054.67

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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.