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Finding the Fourth Proportional to 152,028.46, 209,797.84 and 84,047.18

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Solution

The fourth proportional to 152,028.46, 209,797.84 and 84,047.18 is: 115,984.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,028.46 : 209,797.84 = 84,047.18 : x
  2. Step 2: Convert to fraction form
    152,028.46/209,797.84 = 84,047.18/x
  3. Step 3: Cross multiply
    152,028.46x = 209,797.84 × 84,047.18
  4. Step 4: Simplify right side
    152,028.46x = 17,632,916,822.09
  5. Step 5: Solve for x
    x = 17,632,916,822.09/152,028.46
  6. Step 6: Final answer
    x = 115,984.32

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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.