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Finding the Fourth Proportional to 137,260.98, 189,423.36 and 76,830.12

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Solution

The fourth proportional to 137,260.98, 189,423.36 and 76,830.12 is: 106,027.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,260.98 : 189,423.36 = 76,830.12 : x
  2. Step 2: Convert to fraction form
    137,260.98/189,423.36 = 76,830.12/x
  3. Step 3: Cross multiply
    137,260.98x = 189,423.36 × 76,830.12
  4. Step 4: Simplify right side
    137,260.98x = 14,553,419,479.60
  5. Step 5: Solve for x
    x = 14,553,419,479.60/137,260.98
  6. Step 6: Final answer
    x = 106,027.36

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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.