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Finding the Fourth Proportional to 137,696.40, 189,950.76 and 89,977.68

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Solution

The fourth proportional to 137,696.40, 189,950.76 and 89,977.68 is: 124,123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,696.40 : 189,950.76 = 89,977.68 : x
  2. Step 2: Convert to fraction form
    137,696.40/189,950.76 = 89,977.68/x
  3. Step 3: Cross multiply
    137,696.40x = 189,950.76 × 89,977.68
  4. Step 4: Simplify right side
    137,696.40x = 17,091,328,699.04
  5. Step 5: Solve for x
    x = 17,091,328,699.04/137,696.40
  6. Step 6: Final answer
    x = 124,123.28

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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.