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Finding the Fourth Proportional to 165,806.31, 228,849.63 and 105,365.16

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Solution

The fourth proportional to 165,806.31, 228,849.63 and 105,365.16 is: 145,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,806.31 : 228,849.63 = 105,365.16 : x
  2. Step 2: Convert to fraction form
    165,806.31/228,849.63 = 105,365.16/x
  3. Step 3: Cross multiply
    165,806.31x = 228,849.63 × 105,365.16
  4. Step 4: Simplify right side
    165,806.31x = 24,112,777,880.89
  5. Step 5: Solve for x
    x = 24,112,777,880.89/165,806.31
  6. Step 6: Final answer
    x = 145,427.38

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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.