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Finding the Fourth Proportional to 255,226.16, 382,917.72 and 130,654.64

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Solution

The fourth proportional to 255,226.16, 382,917.72 and 130,654.64 is: 196,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,226.16 : 382,917.72 = 130,654.64 : x
  2. Step 2: Convert to fraction form
    255,226.16/382,917.72 = 130,654.64/x
  3. Step 3: Cross multiply
    255,226.16x = 382,917.72 × 130,654.64
  4. Step 4: Simplify right side
    255,226.16x = 50,029,976,856.22
  5. Step 5: Solve for x
    x = 50,029,976,856.22/255,226.16
  6. Step 6: Final answer
    x = 196,022.14

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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.