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Finding the Fourth Proportional to 202,683.28, 304,090.50 and 97,488.52

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Solution

The fourth proportional to 202,683.28, 304,090.50 and 97,488.52 is: 146,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,683.28 : 304,090.50 = 97,488.52 : x
  2. Step 2: Convert to fraction form
    202,683.28/304,090.50 = 97,488.52/x
  3. Step 3: Cross multiply
    202,683.28x = 304,090.50 × 97,488.52
  4. Step 4: Simplify right side
    202,683.28x = 29,645,332,791.06
  5. Step 5: Solve for x
    x = 29,645,332,791.06/202,683.28
  6. Step 6: Final answer
    x = 146,264.32

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