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Finding the Fourth Proportional to 238,699.68, 357,993.92 and 105,507.36

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Solution

The fourth proportional to 238,699.68, 357,993.92 and 105,507.36 is: 158,236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,699.68 : 357,993.92 = 105,507.36 : x
  2. Step 2: Convert to fraction form
    238,699.68/357,993.92 = 105,507.36/x
  3. Step 3: Cross multiply
    238,699.68x = 357,993.92 × 105,507.36
  4. Step 4: Simplify right side
    238,699.68x = 37,770,993,395.25
  5. Step 5: Solve for x
    x = 37,770,993,395.25/238,699.68
  6. Step 6: Final answer
    x = 158,236.46

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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.