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Finding the Fourth Proportional to 80,186.60, 110,669.22 and 46,188.48

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Solution

The fourth proportional to 80,186.60, 110,669.22 and 46,188.48 is: 63,746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,186.60 : 110,669.22 = 46,188.48 : x
  2. Step 2: Convert to fraction form
    80,186.60/110,669.22 = 46,188.48/x
  3. Step 3: Cross multiply
    80,186.60x = 110,669.22 × 46,188.48
  4. Step 4: Simplify right side
    80,186.60x = 5,111,643,054.59
  5. Step 5: Solve for x
    x = 5,111,643,054.59/80,186.60
  6. Step 6: Final answer
    x = 63,746.85

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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.