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Finding the Fourth Proportional to 300,112.64, 450,160.32 and 78,496.64

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Solution

The fourth proportional to 300,112.64, 450,160.32 and 78,496.64 is: 117,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,112.64 : 450,160.32 = 78,496.64 : x
  2. Step 2: Convert to fraction form
    300,112.64/450,160.32 = 78,496.64/x
  3. Step 3: Cross multiply
    300,112.64x = 450,160.32 × 78,496.64
  4. Step 4: Simplify right side
    300,112.64x = 35,336,072,581.32
  5. Step 5: Solve for x
    x = 35,336,072,581.32/300,112.64
  6. Step 6: Final answer
    x = 117,742.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.