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Finding the Fourth Proportional to 192,458.40, 265,587.07 and 106,415.89

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Solution

The fourth proportional to 192,458.40, 265,587.07 and 106,415.89 is: 146,850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,458.40 : 265,587.07 = 106,415.89 : x
  2. Step 2: Convert to fraction form
    192,458.40/265,587.07 = 106,415.89/x
  3. Step 3: Cross multiply
    192,458.40x = 265,587.07 × 106,415.89
  4. Step 4: Simplify right side
    192,458.40x = 28,262,684,426.54
  5. Step 5: Solve for x
    x = 28,262,684,426.54/192,458.40
  6. Step 6: Final answer
    x = 146,850.87

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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.