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Finding the Fourth Proportional to 111,796.94, 154,265.73 and 75,577.17

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Solution

The fourth proportional to 111,796.94, 154,265.73 and 75,577.17 is: 104,287.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,796.94 : 154,265.73 = 75,577.17 : x
  2. Step 2: Convert to fraction form
    111,796.94/154,265.73 = 75,577.17/x
  3. Step 3: Cross multiply
    111,796.94x = 154,265.73 × 75,577.17
  4. Step 4: Simplify right side
    111,796.94x = 11,658,966,530.06
  5. Step 5: Solve for x
    x = 11,658,966,530.06/111,796.94
  6. Step 6: Final answer
    x = 104,287.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.