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Finding the Fourth Proportional to 103,227.48, 142,513.20 and 78,984

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Solution

The fourth proportional to 103,227.48, 142,513.20 and 78,984 is: 109,043.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,227.48 : 142,513.20 = 78,984 : x
  2. Step 2: Convert to fraction form
    103,227.48/142,513.20 = 78,984/x
  3. Step 3: Cross multiply
    103,227.48x = 142,513.20 × 78,984
  4. Step 4: Simplify right side
    103,227.48x = 11,256,262,588.80
  5. Step 5: Solve for x
    x = 11,256,262,588.80/103,227.48
  6. Step 6: Final answer
    x = 109,043.28

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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.