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Finding the Fourth Proportional to 137,902.62, 190,305.63 and 77,473.26

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Solution

The fourth proportional to 137,902.62, 190,305.63 and 77,473.26 is: 106,913.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,902.62 : 190,305.63 = 77,473.26 : x
  2. Step 2: Convert to fraction form
    137,902.62/190,305.63 = 77,473.26/x
  3. Step 3: Cross multiply
    137,902.62x = 190,305.63 × 77,473.26
  4. Step 4: Simplify right side
    137,902.62x = 14,743,597,552.45
  5. Step 5: Solve for x
    x = 14,743,597,552.45/137,902.62
  6. Step 6: Final answer
    x = 106,913.11

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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.