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Finding the Fourth Proportional to 208,358.05, 312,340.23 and 189,265.54

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Solution

The fourth proportional to 208,358.05, 312,340.23 and 189,265.54 is: 283,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,358.05 : 312,340.23 = 189,265.54 : x
  2. Step 2: Convert to fraction form
    208,358.05/312,340.23 = 189,265.54/x
  3. Step 3: Cross multiply
    208,358.05x = 312,340.23 × 189,265.54
  4. Step 4: Simplify right side
    208,358.05x = 59,115,242,294.67
  5. Step 5: Solve for x
    x = 59,115,242,294.67/208,358.05
  6. Step 6: Final answer
    x = 283,719.50

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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.