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Finding the Fourth Proportional to 153,813.62, 212,237.36 and 102,744.43

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Solution

The fourth proportional to 153,813.62, 212,237.36 and 102,744.43 is: 141,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,813.62 : 212,237.36 = 102,744.43 : x
  2. Step 2: Convert to fraction form
    153,813.62/212,237.36 = 102,744.43/x
  3. Step 3: Cross multiply
    153,813.62x = 212,237.36 × 102,744.43
  4. Step 4: Simplify right side
    153,813.62x = 21,806,206,577.90
  5. Step 5: Solve for x
    x = 21,806,206,577.90/153,813.62
  6. Step 6: Final answer
    x = 141,770.32

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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.