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Finding the Fourth Proportional to 152,109.46, 209,902.79 and 84,122.46

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Solution

The fourth proportional to 152,109.46, 209,902.79 and 84,122.46 is: 116,084.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,109.46 : 209,902.79 = 84,122.46 : x
  2. Step 2: Convert to fraction form
    152,109.46/209,902.79 = 84,122.46/x
  3. Step 3: Cross multiply
    152,109.46x = 209,902.79 × 84,122.46
  4. Step 4: Simplify right side
    152,109.46x = 17,657,538,635.05
  5. Step 5: Solve for x
    x = 17,657,538,635.05/152,109.46
  6. Step 6: Final answer
    x = 116,084.43

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