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Finding the Fourth Proportional to 128,698.12, 177,604.34 and 77,713.16

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Solution

The fourth proportional to 128,698.12, 177,604.34 and 77,713.16 is: 107,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,698.12 : 177,604.34 = 77,713.16 : x
  2. Step 2: Convert to fraction form
    128,698.12/177,604.34 = 77,713.16/x
  3. Step 3: Cross multiply
    128,698.12x = 177,604.34 × 77,713.16
  4. Step 4: Simplify right side
    128,698.12x = 13,802,194,491.11
  5. Step 5: Solve for x
    x = 13,802,194,491.11/128,698.12
  6. Step 6: Final answer
    x = 107,244.73

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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.