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Finding the Fourth Proportional to 131,422.40, 197,133.60 and 105,178.40

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Solution

The fourth proportional to 131,422.40, 197,133.60 and 105,178.40 is: 157,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,422.40 : 197,133.60 = 105,178.40 : x
  2. Step 2: Convert to fraction form
    131,422.40/197,133.60 = 105,178.40/x
  3. Step 3: Cross multiply
    131,422.40x = 197,133.60 × 105,178.40
  4. Step 4: Simplify right side
    131,422.40x = 20,734,196,634.24
  5. Step 5: Solve for x
    x = 20,734,196,634.24/131,422.40
  6. Step 6: Final answer
    x = 157,767.60

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1.5x scale

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.