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Finding the Fourth Proportional to 200,249.12, 276,049.32 and 152,419.16

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Solution

The fourth proportional to 200,249.12, 276,049.32 and 152,419.16 is: 210,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,249.12 : 276,049.32 = 152,419.16 : x
  2. Step 2: Convert to fraction form
    200,249.12/276,049.32 = 152,419.16/x
  3. Step 3: Cross multiply
    200,249.12x = 276,049.32 × 152,419.16
  4. Step 4: Simplify right side
    200,249.12x = 42,075,205,472.97
  5. Step 5: Solve for x
    x = 42,075,205,472.97/200,249.12
  6. Step 6: Final answer
    x = 210,114.31

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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.