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Finding the Fourth Proportional to 202,899.56, 304,090.52 and 96,283.32

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Solution

The fourth proportional to 202,899.56, 304,090.52 and 96,283.32 is: 144,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,899.56 : 304,090.52 = 96,283.32 : x
  2. Step 2: Convert to fraction form
    202,899.56/304,090.52 = 96,283.32/x
  3. Step 3: Cross multiply
    202,899.56x = 304,090.52 × 96,283.32
  4. Step 4: Simplify right side
    202,899.56x = 29,278,844,846.13
  5. Step 5: Solve for x
    x = 29,278,844,846.13/202,899.56
  6. Step 6: Final answer
    x = 144,302.16

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Why These Related Problems?

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