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Finding the Fourth Proportional to 208,422.30, 313,051.94 and 124,346.73

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Solution

The fourth proportional to 208,422.30, 313,051.94 and 124,346.73 is: 186,769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,422.30 : 313,051.94 = 124,346.73 : x
  2. Step 2: Convert to fraction form
    208,422.30/313,051.94 = 124,346.73/x
  3. Step 3: Cross multiply
    208,422.30x = 313,051.94 × 124,346.73
  4. Step 4: Simplify right side
    208,422.30x = 38,926,985,059.16
  5. Step 5: Solve for x
    x = 38,926,985,059.16/208,422.30
  6. Step 6: Final answer
    x = 186,769.77

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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.