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Finding the Fourth Proportional to 237,653.64, 327,930.84 and 142,125.48

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Solution

The fourth proportional to 237,653.64, 327,930.84 and 142,125.48 is: 196,114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,653.64 : 327,930.84 = 142,125.48 : x
  2. Step 2: Convert to fraction form
    237,653.64/327,930.84 = 142,125.48/x
  3. Step 3: Cross multiply
    237,653.64x = 327,930.84 × 142,125.48
  4. Step 4: Simplify right side
    237,653.64x = 46,607,328,041.80
  5. Step 5: Solve for x
    x = 46,607,328,041.80/237,653.64
  6. Step 6: Final answer
    x = 196,114.51

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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.