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Finding the Fourth Proportional to 188,443.76, 260,049.40 and 103,559

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Solution

The fourth proportional to 188,443.76, 260,049.40 and 103,559 is: 142,909.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,443.76 : 260,049.40 = 103,559 : x
  2. Step 2: Convert to fraction form
    188,443.76/260,049.40 = 103,559/x
  3. Step 3: Cross multiply
    188,443.76x = 260,049.40 × 103,559
  4. Step 4: Simplify right side
    188,443.76x = 26,930,455,814.60
  5. Step 5: Solve for x
    x = 26,930,455,814.60/188,443.76
  6. Step 6: Final answer
    x = 142,909.78

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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.