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Finding the Fourth Proportional to 152,028.60, 209,798.06 and 84,049.80

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Solution

The fourth proportional to 152,028.60, 209,798.06 and 84,049.80 is: 115,987.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,028.60 : 209,798.06 = 84,049.80 : x
  2. Step 2: Convert to fraction form
    152,028.60/209,798.06 = 84,049.80/x
  3. Step 3: Cross multiply
    152,028.60x = 209,798.06 × 84,049.80
  4. Step 4: Simplify right side
    152,028.60x = 17,633,484,983.39
  5. Step 5: Solve for x
    x = 17,633,484,983.39/152,028.60
  6. Step 6: Final answer
    x = 115,987.95

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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.