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Finding the Fourth Proportional to 137,578.46, 189,898.59 and 89,839.22

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Solution

The fourth proportional to 137,578.46, 189,898.59 and 89,839.22 is: 124,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,578.46 : 189,898.59 = 89,839.22 : x
  2. Step 2: Convert to fraction form
    137,578.46/189,898.59 = 89,839.22/x
  3. Step 3: Cross multiply
    137,578.46x = 189,898.59 × 89,839.22
  4. Step 4: Simplify right side
    137,578.46x = 17,060,341,204.70
  5. Step 5: Solve for x
    x = 17,060,341,204.70/137,578.46
  6. Step 6: Final answer
    x = 124,004.45

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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.