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Finding the Fourth Proportional to 137,903.97, 190,315.59 and 103,852.38

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Solution

The fourth proportional to 137,903.97, 190,315.59 and 103,852.38 is: 143,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,903.97 : 190,315.59 = 103,852.38 : x
  2. Step 2: Convert to fraction form
    137,903.97/190,315.59 = 103,852.38/x
  3. Step 3: Cross multiply
    137,903.97x = 190,315.59 × 103,852.38
  4. Step 4: Simplify right side
    137,903.97x = 19,764,726,972.60
  5. Step 5: Solve for x
    x = 19,764,726,972.60/137,903.97
  6. Step 6: Final answer
    x = 143,322.39

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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.