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Finding the Fourth Proportional to 152,029.52, 209,799.24 and 84,961.52

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Solution

The fourth proportional to 152,029.52, 209,799.24 and 84,961.52 is: 117,246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,029.52 : 209,799.24 = 84,961.52 : x
  2. Step 2: Convert to fraction form
    152,029.52/209,799.24 = 84,961.52/x
  3. Step 3: Cross multiply
    152,029.52x = 209,799.24 × 84,961.52
  4. Step 4: Simplify right side
    152,029.52x = 17,824,862,325.24
  5. Step 5: Solve for x
    x = 17,824,862,325.24/152,029.52
  6. Step 6: Final answer
    x = 117,246.06

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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.