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Finding the Fourth Proportional to 137,781.41, 190,149.32 and 77,356.01

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Solution

The fourth proportional to 137,781.41, 190,149.32 and 77,356.01 is: 106,757.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,781.41 : 190,149.32 = 77,356.01 : x
  2. Step 2: Convert to fraction form
    137,781.41/190,149.32 = 77,356.01/x
  3. Step 3: Cross multiply
    137,781.41x = 190,149.32 × 77,356.01
  4. Step 4: Simplify right side
    137,781.41x = 14,709,193,368.18
  5. Step 5: Solve for x
    x = 14,709,193,368.18/137,781.41
  6. Step 6: Final answer
    x = 106,757.46

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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.