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Finding the Fourth Proportional to 137,200.96, 189,422.40 and 105,308.80

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Solution

The fourth proportional to 137,200.96, 189,422.40 and 105,308.80 is: 145,391.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,200.96 : 189,422.40 = 105,308.80 : x
  2. Step 2: Convert to fraction form
    137,200.96/189,422.40 = 105,308.80/x
  3. Step 3: Cross multiply
    137,200.96x = 189,422.40 × 105,308.80
  4. Step 4: Simplify right side
    137,200.96x = 19,947,845,637.12
  5. Step 5: Solve for x
    x = 19,947,845,637.12/137,200.96
  6. Step 6: Final answer
    x = 145,391.44

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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.