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Finding the Fourth Proportional to 192,438.89, 265,560.98 and 106,395.65

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Solution

The fourth proportional to 192,438.89, 265,560.98 and 106,395.65 is: 146,823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,438.89 : 265,560.98 = 106,395.65 : x
  2. Step 2: Convert to fraction form
    192,438.89/265,560.98 = 106,395.65/x
  3. Step 3: Cross multiply
    192,438.89x = 265,560.98 × 106,395.65
  4. Step 4: Simplify right side
    192,438.89x = 28,254,531,221.95
  5. Step 5: Solve for x
    x = 28,254,531,221.95/192,438.89
  6. Step 6: Final answer
    x = 146,823.40

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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.