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Finding the Fourth Proportional to 105,102.36, 144,943.29 and 69,230.03

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Solution

The fourth proportional to 105,102.36, 144,943.29 and 69,230.03 is: 95,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,102.36 : 144,943.29 = 69,230.03 : x
  2. Step 2: Convert to fraction form
    105,102.36/144,943.29 = 69,230.03/x
  3. Step 3: Cross multiply
    105,102.36x = 144,943.29 × 69,230.03
  4. Step 4: Simplify right side
    105,102.36x = 10,034,427,590.28
  5. Step 5: Solve for x
    x = 10,034,427,590.28/105,102.36
  6. Step 6: Final answer
    x = 95,472.90

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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.