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Finding the Fourth Proportional to 188,692, 260,394.96 and 103,807.24

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Solution

The fourth proportional to 188,692, 260,394.96 and 103,807.24 is: 143,253.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,692 : 260,394.96 = 103,807.24 : x
  2. Step 2: Convert to fraction form
    188,692/260,394.96 = 103,807.24/x
  3. Step 3: Cross multiply
    188,692x = 260,394.96 × 103,807.24
  4. Step 4: Simplify right side
    188,692x = 27,030,882,107.51
  5. Step 5: Solve for x
    x = 27,030,882,107.51/188,692
  6. Step 6: Final answer
    x = 143,253.99

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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.