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Finding the Fourth Proportional to 137,032.89, 189,107.88 and 76,597.05

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Solution

The fourth proportional to 137,032.89, 189,107.88 and 76,597.05 is: 105,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,032.89 : 189,107.88 = 76,597.05 : x
  2. Step 2: Convert to fraction form
    137,032.89/189,107.88 = 76,597.05/x
  3. Step 3: Cross multiply
    137,032.89x = 189,107.88 × 76,597.05
  4. Step 4: Simplify right side
    137,032.89x = 14,485,105,552.57
  5. Step 5: Solve for x
    x = 14,485,105,552.57/137,032.89
  6. Step 6: Final answer
    x = 105,705.32

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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.