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Finding the Fourth Proportional to 137,074.44, 189,269.94 and 105,192.84

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Solution

The fourth proportional to 137,074.44, 189,269.94 and 105,192.84 is: 145,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,074.44 : 189,269.94 = 105,192.84 : x
  2. Step 2: Convert to fraction form
    137,074.44/189,269.94 = 105,192.84/x
  3. Step 3: Cross multiply
    137,074.44x = 189,269.94 × 105,192.84
  4. Step 4: Simplify right side
    137,074.44x = 19,909,842,515.23
  5. Step 5: Solve for x
    x = 19,909,842,515.23/137,074.44
  6. Step 6: Final answer
    x = 145,248.40

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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.