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Finding the Fourth Proportional to 137,506.20, 189,763.73 and 77,078.02

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Solution

The fourth proportional to 137,506.20, 189,763.73 and 77,078.02 is: 106,370.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,506.20 : 189,763.73 = 77,078.02 : x
  2. Step 2: Convert to fraction form
    137,506.20/189,763.73 = 77,078.02/x
  3. Step 3: Cross multiply
    137,506.20x = 189,763.73 × 77,078.02
  4. Step 4: Simplify right side
    137,506.20x = 14,626,612,576.21
  5. Step 5: Solve for x
    x = 14,626,612,576.21/137,506.20
  6. Step 6: Final answer
    x = 106,370.57

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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.