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Finding the Fourth Proportional to 188,172.96, 259,677.12 and 103,284.96

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Solution

The fourth proportional to 188,172.96, 259,677.12 and 103,284.96 is: 142,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,172.96 : 259,677.12 = 103,284.96 : x
  2. Step 2: Convert to fraction form
    188,172.96/259,677.12 = 103,284.96/x
  3. Step 3: Cross multiply
    188,172.96x = 259,677.12 × 103,284.96
  4. Step 4: Simplify right side
    188,172.96x = 26,820,740,952.12
  5. Step 5: Solve for x
    x = 26,820,740,952.12/188,172.96
  6. Step 6: Final answer
    x = 142,532.39

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1.5x scale

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.