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Finding the Fourth Proportional to 200,283.12, 276,096.24 and 152,453.16

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Solution

The fourth proportional to 200,283.12, 276,096.24 and 152,453.16 is: 210,161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,283.12 : 276,096.24 = 152,453.16 : x
  2. Step 2: Convert to fraction form
    200,283.12/276,096.24 = 152,453.16/x
  3. Step 3: Cross multiply
    200,283.12x = 276,096.24 × 152,453.16
  4. Step 4: Simplify right side
    200,283.12x = 42,091,744,252.12
  5. Step 5: Solve for x
    x = 42,091,744,252.12/200,283.12
  6. Step 6: Final answer
    x = 210,161.22

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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.