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Finding the Fourth Proportional to 152,047.69, 209,824.44 and 84,066.39

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Solution

The fourth proportional to 152,047.69, 209,824.44 and 84,066.39 is: 116,010.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,047.69 : 209,824.44 = 84,066.39 : x
  2. Step 2: Convert to fraction form
    152,047.69/209,824.44 = 84,066.39/x
  3. Step 3: Cross multiply
    152,047.69x = 209,824.44 × 84,066.39
  4. Step 4: Simplify right side
    152,047.69x = 17,639,183,204.57
  5. Step 5: Solve for x
    x = 17,639,183,204.57/152,047.69
  6. Step 6: Final answer
    x = 116,010.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.