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Finding the Fourth Proportional to 121,765.60, 182,604.64 and 46,847.48

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Solution

The fourth proportional to 121,765.60, 182,604.64 and 46,847.48 is: 70,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,765.60 : 182,604.64 = 46,847.48 : x
  2. Step 2: Convert to fraction form
    121,765.60/182,604.64 = 46,847.48/x
  3. Step 3: Cross multiply
    121,765.60x = 182,604.64 × 46,847.48
  4. Step 4: Simplify right side
    121,765.60x = 8,554,567,220.31
  5. Step 5: Solve for x
    x = 8,554,567,220.31/121,765.60
  6. Step 6: Final answer
    x = 70,254.38

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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.