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Finding the Fourth Proportional to 192,071.80, 265,084.16 and 107,206.48

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Solution

The fourth proportional to 192,071.80, 265,084.16 and 107,206.48 is: 147,958.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,071.80 : 265,084.16 = 107,206.48 : x
  2. Step 2: Convert to fraction form
    192,071.80/265,084.16 = 107,206.48/x
  3. Step 3: Cross multiply
    192,071.80x = 265,084.16 × 107,206.48
  4. Step 4: Simplify right side
    192,071.80x = 28,418,739,697.36
  5. Step 5: Solve for x
    x = 28,418,739,697.36/192,071.80
  6. Step 6: Final answer
    x = 147,958.94

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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.