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Finding the Fourth Proportional to 249,858.56, 344,804.83 and 135,137.23

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Solution

The fourth proportional to 249,858.56, 344,804.83 and 135,137.23 is: 186,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,858.56 : 344,804.83 = 135,137.23 : x
  2. Step 2: Convert to fraction form
    249,858.56/344,804.83 = 135,137.23/x
  3. Step 3: Cross multiply
    249,858.56x = 344,804.83 × 135,137.23
  4. Step 4: Simplify right side
    249,858.56x = 46,595,968,416.97
  5. Step 5: Solve for x
    x = 46,595,968,416.97/249,858.56
  6. Step 6: Final answer
    x = 186,489.38

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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.