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Finding the Fourth Proportional to 126,557, 189,867.24 and 37,810.16

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Solution

The fourth proportional to 126,557, 189,867.24 and 37,810.16 is: 56,724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,557 : 189,867.24 = 37,810.16 : x
  2. Step 2: Convert to fraction form
    126,557/189,867.24 = 37,810.16/x
  3. Step 3: Cross multiply
    126,557x = 189,867.24 × 37,810.16
  4. Step 4: Simplify right side
    126,557x = 7,178,910,723.16
  5. Step 5: Solve for x
    x = 7,178,910,723.16/126,557
  6. Step 6: Final answer
    x = 56,724.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.