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Finding the Fourth Proportional to 137,137.06, 189,266.64 and 76,711.06

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Solution

The fourth proportional to 137,137.06, 189,266.64 and 76,711.06 is: 105,871.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,137.06 : 189,266.64 = 76,711.06 : x
  2. Step 2: Convert to fraction form
    137,137.06/189,266.64 = 76,711.06/x
  3. Step 3: Cross multiply
    137,137.06x = 189,266.64 × 76,711.06
  4. Step 4: Simplify right side
    137,137.06x = 14,518,844,577.04
  5. Step 5: Solve for x
    x = 14,518,844,577.04/137,137.06
  6. Step 6: Final answer
    x = 105,871.05

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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.