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Finding the Fourth Proportional to 128,616.09, 177,458.14 and 74,184.90

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Solution

The fourth proportional to 128,616.09, 177,458.14 and 74,184.90 is: 102,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,616.09 : 177,458.14 = 74,184.90 : x
  2. Step 2: Convert to fraction form
    128,616.09/177,458.14 = 74,184.90/x
  3. Step 3: Cross multiply
    128,616.09x = 177,458.14 × 74,184.90
  4. Step 4: Simplify right side
    128,616.09x = 13,164,713,297.33
  5. Step 5: Solve for x
    x = 13,164,713,297.33/128,616.09
  6. Step 6: Final answer
    x = 102,356.66

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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.