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Finding the Fourth Proportional to 165,201, 247,800.69 and 46,872.56

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Solution

The fourth proportional to 165,201, 247,800.69 and 46,872.56 is: 70,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,201 : 247,800.69 = 46,872.56 : x
  2. Step 2: Convert to fraction form
    165,201/247,800.69 = 46,872.56/x
  3. Step 3: Cross multiply
    165,201x = 247,800.69 × 46,872.56
  4. Step 4: Simplify right side
    165,201x = 11,615,051,471.06
  5. Step 5: Solve for x
    x = 11,615,051,471.06/165,201
  6. Step 6: Final answer
    x = 70,308.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.