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Finding the Fourth Proportional to 171,643.60, 257,465.40 and 142,483.60

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Solution

The fourth proportional to 171,643.60, 257,465.40 and 142,483.60 is: 213,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,643.60 : 257,465.40 = 142,483.60 : x
  2. Step 2: Convert to fraction form
    171,643.60/257,465.40 = 142,483.60/x
  3. Step 3: Cross multiply
    171,643.60x = 257,465.40 × 142,483.60
  4. Step 4: Simplify right side
    171,643.60x = 36,684,597,067.44
  5. Step 5: Solve for x
    x = 36,684,597,067.44/171,643.60
  6. Step 6: Final answer
    x = 213,725.40

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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.