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Finding the Fourth Proportional to 103,212.60, 142,439.10 and 77,673

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Solution

The fourth proportional to 103,212.60, 142,439.10 and 77,673 is: 107,193.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,212.60 : 142,439.10 = 77,673 : x
  2. Step 2: Convert to fraction form
    103,212.60/142,439.10 = 77,673/x
  3. Step 3: Cross multiply
    103,212.60x = 142,439.10 × 77,673
  4. Step 4: Simplify right side
    103,212.60x = 11,063,672,214.30
  5. Step 5: Solve for x
    x = 11,063,672,214.30/103,212.60
  6. Step 6: Final answer
    x = 107,193.04

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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.