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Finding the Fourth Proportional to 137,137.77, 189,249.30 and 76,715.01

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Solution

The fourth proportional to 137,137.77, 189,249.30 and 76,715.01 is: 105,866.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,137.77 : 189,249.30 = 76,715.01 : x
  2. Step 2: Convert to fraction form
    137,137.77/189,249.30 = 76,715.01/x
  3. Step 3: Cross multiply
    137,137.77x = 189,249.30 × 76,715.01
  4. Step 4: Simplify right side
    137,137.77x = 14,518,261,941.99
  5. Step 5: Solve for x
    x = 14,518,261,941.99/137,137.77
  6. Step 6: Final answer
    x = 105,866.25

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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.