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Finding the Fourth Proportional to 189,532.78, 261,596.19 and 129,247.32

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Solution

The fourth proportional to 189,532.78, 261,596.19 and 129,247.32 is: 178,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,532.78 : 261,596.19 = 129,247.32 : x
  2. Step 2: Convert to fraction form
    189,532.78/261,596.19 = 129,247.32/x
  3. Step 3: Cross multiply
    189,532.78x = 261,596.19 × 129,247.32
  4. Step 4: Simplify right side
    189,532.78x = 33,810,606,479.71
  5. Step 5: Solve for x
    x = 33,810,606,479.71/189,532.78
  6. Step 6: Final answer
    x = 178,389.23

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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.