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Finding the Fourth Proportional to 215,813.16, 297,716.31 and 144,210.78

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Solution

The fourth proportional to 215,813.16, 297,716.31 and 144,210.78 is: 198,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,813.16 : 297,716.31 = 144,210.78 : x
  2. Step 2: Convert to fraction form
    215,813.16/297,716.31 = 144,210.78/x
  3. Step 3: Cross multiply
    215,813.16x = 297,716.31 × 144,210.78
  4. Step 4: Simplify right side
    215,813.16x = 42,933,901,283.82
  5. Step 5: Solve for x
    x = 42,933,901,283.82/215,813.16
  6. Step 6: Final answer
    x = 198,940.14

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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.