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Finding the Fourth Proportional to 136,644, 188,568.72 and 77,028

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Solution

The fourth proportional to 136,644, 188,568.72 and 77,028 is: 106,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,644 : 188,568.72 = 77,028 : x
  2. Step 2: Convert to fraction form
    136,644/188,568.72 = 77,028/x
  3. Step 3: Cross multiply
    136,644x = 188,568.72 × 77,028
  4. Step 4: Simplify right side
    136,644x = 14,525,071,364.16
  5. Step 5: Solve for x
    x = 14,525,071,364.16/136,644
  6. Step 6: Final answer
    x = 106,298.64

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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.