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Finding the Fourth Proportional to 293,268, 404,709.84 and 159,132

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Solution

The fourth proportional to 293,268, 404,709.84 and 159,132 is: 219,602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,268 : 404,709.84 = 159,132 : x
  2. Step 2: Convert to fraction form
    293,268/404,709.84 = 159,132/x
  3. Step 3: Cross multiply
    293,268x = 404,709.84 × 159,132
  4. Step 4: Simplify right side
    293,268x = 64,402,286,258.88
  5. Step 5: Solve for x
    x = 64,402,286,258.88/293,268
  6. Step 6: Final answer
    x = 219,602.16

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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.