Home / 232,934.94-321,462-142,276.23

Finding the Fourth Proportional to 232,934.94, 321,462 and 142,276.23

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Solution

The fourth proportional to 232,934.94, 321,462 and 142,276.23 is: 196,348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,934.94 : 321,462 = 142,276.23 : x
  2. Step 2: Convert to fraction form
    232,934.94/321,462 = 142,276.23/x
  3. Step 3: Cross multiply
    232,934.94x = 321,462 × 142,276.23
  4. Step 4: Simplify right side
    232,934.94x = 45,736,401,448.26
  5. Step 5: Solve for x
    x = 45,736,401,448.26/232,934.94
  6. Step 6: Final answer
    x = 196,348.39

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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.