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Finding the Fourth Proportional to 103,805.34, 143,102.07 and 73,945.50

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Solution

The fourth proportional to 103,805.34, 143,102.07 and 73,945.50 is: 101,938.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,805.34 : 143,102.07 = 73,945.50 : x
  2. Step 2: Convert to fraction form
    103,805.34/143,102.07 = 73,945.50/x
  3. Step 3: Cross multiply
    103,805.34x = 143,102.07 × 73,945.50
  4. Step 4: Simplify right side
    103,805.34x = 10,581,754,117.19
  5. Step 5: Solve for x
    x = 10,581,754,117.19/103,805.34
  6. Step 6: Final answer
    x = 101,938.44

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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.