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Finding the Fourth Proportional to 262,904.88, 362,808.74 and 142,046.20

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Solution

The fourth proportional to 262,904.88, 362,808.74 and 142,046.20 is: 196,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,904.88 : 362,808.74 = 142,046.20 : x
  2. Step 2: Convert to fraction form
    262,904.88/362,808.74 = 142,046.20/x
  3. Step 3: Cross multiply
    262,904.88x = 362,808.74 × 142,046.20
  4. Step 4: Simplify right side
    262,904.88x = 51,535,602,843.79
  5. Step 5: Solve for x
    x = 51,535,602,843.79/262,904.88
  6. Step 6: Final answer
    x = 196,023.76

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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.