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Finding the Fourth Proportional to 192,820.47, 265,833.14 and 135,382.83

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Solution

The fourth proportional to 192,820.47, 265,833.14 and 135,382.83 is: 186,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,820.47 : 265,833.14 = 135,382.83 : x
  2. Step 2: Convert to fraction form
    192,820.47/265,833.14 = 135,382.83/x
  3. Step 3: Cross multiply
    192,820.47x = 265,833.14 × 135,382.83
  4. Step 4: Simplify right side
    192,820.47x = 35,989,242,124.07
  5. Step 5: Solve for x
    x = 35,989,242,124.07/192,820.47
  6. Step 6: Final answer
    x = 186,646.38

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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.