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Finding the Fourth Proportional to 137,118, 205,603.17 and 73,972.02

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Solution

The fourth proportional to 137,118, 205,603.17 and 73,972.02 is: 110,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,118 : 205,603.17 = 73,972.02 : x
  2. Step 2: Convert to fraction form
    137,118/205,603.17 = 73,972.02/x
  3. Step 3: Cross multiply
    137,118x = 205,603.17 × 73,972.02
  4. Step 4: Simplify right side
    137,118x = 15,208,881,803.30
  5. Step 5: Solve for x
    x = 15,208,881,803.30/137,118
  6. Step 6: Final answer
    x = 110,918.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.