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Finding the Fourth Proportional to 188,451, 260,072.31 and 106,795.08

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Solution

The fourth proportional to 188,451, 260,072.31 and 106,795.08 is: 147,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,451 : 260,072.31 = 106,795.08 : x
  2. Step 2: Convert to fraction form
    188,451/260,072.31 = 106,795.08/x
  3. Step 3: Cross multiply
    188,451x = 260,072.31 × 106,795.08
  4. Step 4: Simplify right side
    188,451x = 27,774,443,152.23
  5. Step 5: Solve for x
    x = 27,774,443,152.23/188,451
  6. Step 6: Final answer
    x = 147,382.84

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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.