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Finding the Fourth Proportional to 208,384.42, 312,619.82 and 83,735.14

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Solution

The fourth proportional to 208,384.42, 312,619.82 and 83,735.14 is: 125,620.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,384.42 : 312,619.82 = 83,735.14 : x
  2. Step 2: Convert to fraction form
    208,384.42/312,619.82 = 83,735.14/x
  3. Step 3: Cross multiply
    208,384.42x = 312,619.82 × 83,735.14
  4. Step 4: Simplify right side
    208,384.42x = 26,177,264,394.47
  5. Step 5: Solve for x
    x = 26,177,264,394.47/208,384.42
  6. Step 6: Final answer
    x = 125,620.07

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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.