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Finding the Fourth Proportional to 133,453.68, 199,973.16 and 84,102

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Solution

The fourth proportional to 133,453.68, 199,973.16 and 84,102 is: 126,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,453.68 : 199,973.16 = 84,102 : x
  2. Step 2: Convert to fraction form
    133,453.68/199,973.16 = 84,102/x
  3. Step 3: Cross multiply
    133,453.68x = 199,973.16 × 84,102
  4. Step 4: Simplify right side
    133,453.68x = 16,818,142,702.32
  5. Step 5: Solve for x
    x = 16,818,142,702.32/133,453.68
  6. Step 6: Final answer
    x = 126,022.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.