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Finding the Fourth Proportional to 138,371.40, 190,895.88 and 102,159.48

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Solution

The fourth proportional to 138,371.40, 190,895.88 and 102,159.48 is: 140,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,371.40 : 190,895.88 = 102,159.48 : x
  2. Step 2: Convert to fraction form
    138,371.40/190,895.88 = 102,159.48/x
  3. Step 3: Cross multiply
    138,371.40x = 190,895.88 × 102,159.48
  4. Step 4: Simplify right side
    138,371.40x = 19,501,823,834.94
  5. Step 5: Solve for x
    x = 19,501,823,834.94/138,371.40
  6. Step 6: Final answer
    x = 140,938.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.