Home / 300,088.64-414,106.08-165,944

Finding the Fourth Proportional to 300,088.64, 414,106.08 and 165,944

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Solution

The fourth proportional to 300,088.64, 414,106.08 and 165,944 is: 228,993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,088.64 : 414,106.08 = 165,944 : x
  2. Step 2: Convert to fraction form
    300,088.64/414,106.08 = 165,944/x
  3. Step 3: Cross multiply
    300,088.64x = 414,106.08 × 165,944
  4. Step 4: Simplify right side
    300,088.64x = 68,718,419,339.52
  5. Step 5: Solve for x
    x = 68,718,419,339.52/300,088.64
  6. Step 6: Final answer
    x = 228,993.74

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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.