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Finding the Fourth Proportional to 152,016, 209,782.08 and 84,948

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Solution

The fourth proportional to 152,016, 209,782.08 and 84,948 is: 117,228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,016 : 209,782.08 = 84,948 : x
  2. Step 2: Convert to fraction form
    152,016/209,782.08 = 84,948/x
  3. Step 3: Cross multiply
    152,016x = 209,782.08 × 84,948
  4. Step 4: Simplify right side
    152,016x = 17,820,568,131.84
  5. Step 5: Solve for x
    x = 17,820,568,131.84/152,016
  6. Step 6: Final answer
    x = 117,228.24

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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.