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Finding the Fourth Proportional to 233,768.86, 322,451.41 and 162,122.74

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Solution

The fourth proportional to 233,768.86, 322,451.41 and 162,122.74 is: 223,625.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,768.86 : 322,451.41 = 162,122.74 : x
  2. Step 2: Convert to fraction form
    233,768.86/322,451.41 = 162,122.74/x
  3. Step 3: Cross multiply
    233,768.86x = 322,451.41 × 162,122.74
  4. Step 4: Simplify right side
    233,768.86x = 52,276,706,106.06
  5. Step 5: Solve for x
    x = 52,276,706,106.06/233,768.86
  6. Step 6: Final answer
    x = 223,625.62

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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.