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Finding the Fourth Proportional to 252,294.50, 378,441.75 and 102,616.22

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Solution

The fourth proportional to 252,294.50, 378,441.75 and 102,616.22 is: 153,924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,294.50 : 378,441.75 = 102,616.22 : x
  2. Step 2: Convert to fraction form
    252,294.50/378,441.75 = 102,616.22/x
  3. Step 3: Cross multiply
    252,294.50x = 378,441.75 × 102,616.22
  4. Step 4: Simplify right side
    252,294.50x = 38,834,261,875.19
  5. Step 5: Solve for x
    x = 38,834,261,875.19/252,294.50
  6. Step 6: Final answer
    x = 153,924.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.