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Finding the Fourth Proportional to 137,068.59, 189,145.89 and 76,644.21

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Solution

The fourth proportional to 137,068.59, 189,145.89 and 76,644.21 is: 105,764.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,068.59 : 189,145.89 = 76,644.21 : x
  2. Step 2: Convert to fraction form
    137,068.59/189,145.89 = 76,644.21/x
  3. Step 3: Cross multiply
    137,068.59x = 189,145.89 × 76,644.21
  4. Step 4: Simplify right side
    137,068.59x = 14,496,937,313.80
  5. Step 5: Solve for x
    x = 14,496,937,313.80/137,068.59
  6. Step 6: Final answer
    x = 105,764.11

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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.