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Finding the Fourth Proportional to 160,971.19, 222,039.19 and 103,684.75

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Solution

The fourth proportional to 160,971.19, 222,039.19 and 103,684.75 is: 143,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,971.19 : 222,039.19 = 103,684.75 : x
  2. Step 2: Convert to fraction form
    160,971.19/222,039.19 = 103,684.75/x
  3. Step 3: Cross multiply
    160,971.19x = 222,039.19 × 103,684.75
  4. Step 4: Simplify right side
    160,971.19x = 23,022,077,905.35
  5. Step 5: Solve for x
    x = 23,022,077,905.35/160,971.19
  6. Step 6: Final answer
    x = 143,019.87

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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.