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Finding the Fourth Proportional to 202,904.55, 304,098.03 and 96,288.30

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Solution

The fourth proportional to 202,904.55, 304,098.03 and 96,288.30 is: 144,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,904.55 : 304,098.03 = 96,288.30 : x
  2. Step 2: Convert to fraction form
    202,904.55/304,098.03 = 96,288.30/x
  3. Step 3: Cross multiply
    202,904.55x = 304,098.03 × 96,288.30
  4. Step 4: Simplify right side
    202,904.55x = 29,281,082,342.05
  5. Step 5: Solve for x
    x = 29,281,082,342.05/202,904.55
  6. Step 6: Final answer
    x = 144,309.64

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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.