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Finding the Fourth Proportional to 103,227.72, 142,347.08 and 72,999.24

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Solution

The fourth proportional to 103,227.72, 142,347.08 and 72,999.24 is: 100,663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,227.72 : 142,347.08 = 72,999.24 : x
  2. Step 2: Convert to fraction form
    103,227.72/142,347.08 = 72,999.24/x
  3. Step 3: Cross multiply
    103,227.72x = 142,347.08 × 72,999.24
  4. Step 4: Simplify right side
    103,227.72x = 10,391,228,656.22
  5. Step 5: Solve for x
    x = 10,391,228,656.22/103,227.72
  6. Step 6: Final answer
    x = 100,663.16

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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.