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Finding the Fourth Proportional to 195,428.44, 293,159.94 and 106,643.80

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Solution

The fourth proportional to 195,428.44, 293,159.94 and 106,643.80 is: 159,975.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,428.44 : 293,159.94 = 106,643.80 : x
  2. Step 2: Convert to fraction form
    195,428.44/293,159.94 = 106,643.80/x
  3. Step 3: Cross multiply
    195,428.44x = 293,159.94 × 106,643.80
  4. Step 4: Simplify right side
    195,428.44x = 31,263,690,009.37
  5. Step 5: Solve for x
    x = 31,263,690,009.37/195,428.44
  6. Step 6: Final answer
    x = 159,975.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.