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Finding the Fourth Proportional to 103,541.88, 142,715.73 and 73,288.38

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Solution

The fourth proportional to 103,541.88, 142,715.73 and 73,288.38 is: 101,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,541.88 : 142,715.73 = 73,288.38 : x
  2. Step 2: Convert to fraction form
    103,541.88/142,715.73 = 73,288.38/x
  3. Step 3: Cross multiply
    103,541.88x = 142,715.73 × 73,288.38
  4. Step 4: Simplify right side
    103,541.88x = 10,459,404,652.22
  5. Step 5: Solve for x
    x = 10,459,404,652.22/103,541.88
  6. Step 6: Final answer
    x = 101,016.17

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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.