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Finding the Fourth Proportional to 171,643.80, 257,465.70 and 53,314.20

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Solution

The fourth proportional to 171,643.80, 257,465.70 and 53,314.20 is: 79,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,643.80 : 257,465.70 = 53,314.20 : x
  2. Step 2: Convert to fraction form
    171,643.80/257,465.70 = 53,314.20/x
  3. Step 3: Cross multiply
    171,643.80x = 257,465.70 × 53,314.20
  4. Step 4: Simplify right side
    171,643.80x = 13,726,577,822.94
  5. Step 5: Solve for x
    x = 13,726,577,822.94/171,643.80
  6. Step 6: Final answer
    x = 79,971.30

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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.