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Finding the Fourth Proportional to 262,992.22, 362,930.92 and 142,133.22

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Solution

The fourth proportional to 262,992.22, 362,930.92 and 142,133.22 is: 196,144.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,992.22 : 362,930.92 = 142,133.22 : x
  2. Step 2: Convert to fraction form
    262,992.22/362,930.92 = 142,133.22/x
  3. Step 3: Cross multiply
    262,992.22x = 362,930.92 × 142,133.22
  4. Step 4: Simplify right side
    262,992.22x = 51,584,538,482.51
  5. Step 5: Solve for x
    x = 51,584,538,482.51/262,992.22
  6. Step 6: Final answer
    x = 196,144.74

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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.