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Finding the Fourth Proportional to 105,004.82, 144,884.13 and 62,577.38

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Solution

The fourth proportional to 105,004.82, 144,884.13 and 62,577.38 is: 86,343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,004.82 : 144,884.13 = 62,577.38 : x
  2. Step 2: Convert to fraction form
    105,004.82/144,884.13 = 62,577.38/x
  3. Step 3: Cross multiply
    105,004.82x = 144,884.13 × 62,577.38
  4. Step 4: Simplify right side
    105,004.82x = 9,066,469,258.98
  5. Step 5: Solve for x
    x = 9,066,469,258.98/105,004.82
  6. Step 6: Final answer
    x = 86,343.36

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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.