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Finding the Fourth Proportional to 202,821.30, 304,231.95 and 90,501.30

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Solution

The fourth proportional to 202,821.30, 304,231.95 and 90,501.30 is: 135,751.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,821.30 : 304,231.95 = 90,501.30 : x
  2. Step 2: Convert to fraction form
    202,821.30/304,231.95 = 90,501.30/x
  3. Step 3: Cross multiply
    202,821.30x = 304,231.95 × 90,501.30
  4. Step 4: Simplify right side
    202,821.30x = 27,533,386,976.54
  5. Step 5: Solve for x
    x = 27,533,386,976.54/202,821.30
  6. Step 6: Final answer
    x = 135,751.95

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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.