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Finding the Fourth Proportional to 188,055.53, 259,516.58 and 106,382.01

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Solution

The fourth proportional to 188,055.53, 259,516.58 and 106,382.01 is: 146,807.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,055.53 : 259,516.58 = 106,382.01 : x
  2. Step 2: Convert to fraction form
    188,055.53/259,516.58 = 106,382.01/x
  3. Step 3: Cross multiply
    188,055.53x = 259,516.58 × 106,382.01
  4. Step 4: Simplify right side
    188,055.53x = 27,607,895,674.68
  5. Step 5: Solve for x
    x = 27,607,895,674.68/188,055.53
  6. Step 6: Final answer
    x = 146,807.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.