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Finding the Fourth Proportional to 137,293.53, 189,482.94 and 76,887.24

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Solution

The fourth proportional to 137,293.53, 189,482.94 and 76,887.24 is: 106,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,293.53 : 189,482.94 = 76,887.24 : x
  2. Step 2: Convert to fraction form
    137,293.53/189,482.94 = 76,887.24/x
  3. Step 3: Cross multiply
    137,293.53x = 189,482.94 × 76,887.24
  4. Step 4: Simplify right side
    137,293.53x = 14,568,820,283.69
  5. Step 5: Solve for x
    x = 14,568,820,283.69/137,293.53
  6. Step 6: Final answer
    x = 106,114.40

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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.