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Finding the Fourth Proportional to 208,552.20, 312,828.30 and 182,308.20

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Solution

The fourth proportional to 208,552.20, 312,828.30 and 182,308.20 is: 273,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,552.20 : 312,828.30 = 182,308.20 : x
  2. Step 2: Convert to fraction form
    208,552.20/312,828.30 = 182,308.20/x
  3. Step 3: Cross multiply
    208,552.20x = 312,828.30 × 182,308.20
  4. Step 4: Simplify right side
    208,552.20x = 57,031,164,282.06
  5. Step 5: Solve for x
    x = 57,031,164,282.06/208,552.20
  6. Step 6: Final answer
    x = 273,462.30

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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.