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Finding the Fourth Proportional to 202,830.30, 304,245.45 and 90,510.30

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Solution

The fourth proportional to 202,830.30, 304,245.45 and 90,510.30 is: 135,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,830.30 : 304,245.45 = 90,510.30 : x
  2. Step 2: Convert to fraction form
    202,830.30/304,245.45 = 90,510.30/x
  3. Step 3: Cross multiply
    202,830.30x = 304,245.45 × 90,510.30
  4. Step 4: Simplify right side
    202,830.30x = 27,537,346,953.14
  5. Step 5: Solve for x
    x = 27,537,346,953.14/202,830.30
  6. Step 6: Final answer
    x = 135,765.45

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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.