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Finding the Fourth Proportional to 171,645.10, 257,467.65 and 142,485.10

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Solution

The fourth proportional to 171,645.10, 257,467.65 and 142,485.10 is: 213,727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,645.10 : 257,467.65 = 142,485.10 : x
  2. Step 2: Convert to fraction form
    171,645.10/257,467.65 = 142,485.10/x
  3. Step 3: Cross multiply
    171,645.10x = 257,467.65 × 142,485.10
  4. Step 4: Simplify right side
    171,645.10x = 36,685,303,857.02
  5. Step 5: Solve for x
    x = 36,685,303,857.02/171,645.10
  6. Step 6: Final answer
    x = 213,727.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.