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Finding the Fourth Proportional to 165,735.16, 228,731.04 and 101,200.84

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Solution

The fourth proportional to 165,735.16, 228,731.04 and 101,200.84 is: 139,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,735.16 : 228,731.04 = 101,200.84 : x
  2. Step 2: Convert to fraction form
    165,735.16/228,731.04 = 101,200.84/x
  3. Step 3: Cross multiply
    165,735.16x = 228,731.04 × 101,200.84
  4. Step 4: Simplify right side
    165,735.16x = 23,147,773,382.07
  5. Step 5: Solve for x
    x = 23,147,773,382.07/165,735.16
  6. Step 6: Final answer
    x = 139,667.25

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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.