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Finding the Fourth Proportional to 237,662, 327,973.56 and 142,172.72

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Solution

The fourth proportional to 237,662, 327,973.56 and 142,172.72 is: 196,198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,662 : 327,973.56 = 142,172.72 : x
  2. Step 2: Convert to fraction form
    237,662/327,973.56 = 142,172.72/x
  3. Step 3: Cross multiply
    237,662x = 327,973.56 × 142,172.72
  4. Step 4: Simplify right side
    237,662x = 46,628,893,113.28
  5. Step 5: Solve for x
    x = 46,628,893,113.28/237,662
  6. Step 6: Final answer
    x = 196,198.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.