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Finding the Fourth Proportional to 165,838.51, 228,863.31 and 94,230.64

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Solution

The fourth proportional to 165,838.51, 228,863.31 and 94,230.64 is: 130,041.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,838.51 : 228,863.31 = 94,230.64 : x
  2. Step 2: Convert to fraction form
    165,838.51/228,863.31 = 94,230.64/x
  3. Step 3: Cross multiply
    165,838.51x = 228,863.31 × 94,230.64
  4. Step 4: Simplify right side
    165,838.51x = 21,565,936,173.82
  5. Step 5: Solve for x
    x = 21,565,936,173.82/165,838.51
  6. Step 6: Final answer
    x = 130,041.79

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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.