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Finding the Fourth Proportional to 188,683.67, 260,372.00 and 102,642.03

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Solution

The fourth proportional to 188,683.67, 260,372.00 and 102,642.03 is: 141,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,683.67 : 260,372.00 = 102,642.03 : x
  2. Step 2: Convert to fraction form
    188,683.67/260,372.00 = 102,642.03/x
  3. Step 3: Cross multiply
    188,683.67x = 260,372.00 × 102,642.03
  4. Step 4: Simplify right side
    188,683.67x = 26,725,110,891.77
  5. Step 5: Solve for x
    x = 26,725,110,891.77/188,683.67
  6. Step 6: Final answer
    x = 141,639.76

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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.