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Finding the Fourth Proportional to 137,938.44, 190,188.06 and 107,320.44

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Solution

The fourth proportional to 137,938.44, 190,188.06 and 107,320.44 is: 147,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,938.44 : 190,188.06 = 107,320.44 : x
  2. Step 2: Convert to fraction form
    137,938.44/190,188.06 = 107,320.44/x
  3. Step 3: Cross multiply
    137,938.44x = 190,188.06 × 107,320.44
  4. Step 4: Simplify right side
    137,938.44x = 20,411,066,281.95
  5. Step 5: Solve for x
    x = 20,411,066,281.95/137,938.44
  6. Step 6: Final answer
    x = 147,972.29

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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.