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Finding the Fourth Proportional to 137,066.49, 189,152.94 and 75,811.65

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Solution

The fourth proportional to 137,066.49, 189,152.94 and 75,811.65 is: 104,620.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,066.49 : 189,152.94 = 75,811.65 : x
  2. Step 2: Convert to fraction form
    137,066.49/189,152.94 = 75,811.65/x
  3. Step 3: Cross multiply
    137,066.49x = 189,152.94 × 75,811.65
  4. Step 4: Simplify right side
    137,066.49x = 14,339,996,483.75
  5. Step 5: Solve for x
    x = 14,339,996,483.75/137,066.49
  6. Step 6: Final answer
    x = 104,620.73

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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.