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Finding the Fourth Proportional to 137,595.94, 189,704.70 and 89,111.77

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Solution

The fourth proportional to 137,595.94, 189,704.70 and 89,111.77 is: 122,859.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,595.94 : 189,704.70 = 89,111.77 : x
  2. Step 2: Convert to fraction form
    137,595.94/189,704.70 = 89,111.77/x
  3. Step 3: Cross multiply
    137,595.94x = 189,704.70 × 89,111.77
  4. Step 4: Simplify right side
    137,595.94x = 16,904,921,120.06
  5. Step 5: Solve for x
    x = 16,904,921,120.06/137,595.94
  6. Step 6: Final answer
    x = 122,859.16

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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.