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Finding the Fourth Proportional to 137,078.84, 189,167.46 and 76,649.60

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Solution

The fourth proportional to 137,078.84, 189,167.46 and 76,649.60 is: 105,775.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,078.84 : 189,167.46 = 76,649.60 : x
  2. Step 2: Convert to fraction form
    137,078.84/189,167.46 = 76,649.60/x
  3. Step 3: Cross multiply
    137,078.84x = 189,167.46 × 76,649.60
  4. Step 4: Simplify right side
    137,078.84x = 14,499,610,142.02
  5. Step 5: Solve for x
    x = 14,499,610,142.02/137,078.84
  6. Step 6: Final answer
    x = 105,775.70

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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.