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Finding the Fourth Proportional to 152,019.84, 209,775.60 and 84,036

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Solution

The fourth proportional to 152,019.84, 209,775.60 and 84,036 is: 115,963.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,019.84 : 209,775.60 = 84,036 : x
  2. Step 2: Convert to fraction form
    152,019.84/209,775.60 = 84,036/x
  3. Step 3: Cross multiply
    152,019.84x = 209,775.60 × 84,036
  4. Step 4: Simplify right side
    152,019.84x = 17,628,702,321.60
  5. Step 5: Solve for x
    x = 17,628,702,321.60/152,019.84
  6. Step 6: Final answer
    x = 115,963.17

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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.