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Finding the Fourth Proportional to 130,678, 196,017.96 and 32,182

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Solution

The fourth proportional to 130,678, 196,017.96 and 32,182 is: 48,273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,678 : 196,017.96 = 32,182 : x
  2. Step 2: Convert to fraction form
    130,678/196,017.96 = 32,182/x
  3. Step 3: Cross multiply
    130,678x = 196,017.96 × 32,182
  4. Step 4: Simplify right side
    130,678x = 6,308,249,988.72
  5. Step 5: Solve for x
    x = 6,308,249,988.72/130,678
  6. Step 6: Final answer
    x = 48,273.24

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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.