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Finding the Fourth Proportional to 165,903, 228,765.24 and 112,094.64

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Solution

The fourth proportional to 165,903, 228,765.24 and 112,094.64 is: 154,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,903 : 228,765.24 = 112,094.64 : x
  2. Step 2: Convert to fraction form
    165,903/228,765.24 = 112,094.64/x
  3. Step 3: Cross multiply
    165,903x = 228,765.24 × 112,094.64
  4. Step 4: Simplify right side
    165,903x = 25,643,357,222.31
  5. Step 5: Solve for x
    x = 25,643,357,222.31/165,903
  6. Step 6: Final answer
    x = 154,568.38

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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.