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Finding the Fourth Proportional to 192,673.86, 265,900.23 and 107,776.14

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Solution

The fourth proportional to 192,673.86, 265,900.23 and 107,776.14 is: 148,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,673.86 : 265,900.23 = 107,776.14 : x
  2. Step 2: Convert to fraction form
    192,673.86/265,900.23 = 107,776.14/x
  3. Step 3: Cross multiply
    192,673.86x = 265,900.23 × 107,776.14
  4. Step 4: Simplify right side
    192,673.86x = 28,657,700,414.51
  5. Step 5: Solve for x
    x = 28,657,700,414.51/192,673.86
  6. Step 6: Final answer
    x = 148,736.84

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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.