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Finding the Fourth Proportional to 152,010.56, 209,774.24 and 84,942.56

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Solution

The fourth proportional to 152,010.56, 209,774.24 and 84,942.56 is: 117,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,010.56 : 209,774.24 = 84,942.56 : x
  2. Step 2: Convert to fraction form
    152,010.56/209,774.24 = 84,942.56/x
  3. Step 3: Cross multiply
    152,010.56x = 209,774.24 × 84,942.56
  4. Step 4: Simplify right side
    152,010.56x = 17,818,760,967.65
  5. Step 5: Solve for x
    x = 17,818,760,967.65/152,010.56
  6. Step 6: Final answer
    x = 117,220.55

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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.