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Finding the Fourth Proportional to 202,842.30, 304,263.45 and 55,098.30

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Solution

The fourth proportional to 202,842.30, 304,263.45 and 55,098.30 is: 82,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,842.30 : 304,263.45 = 55,098.30 : x
  2. Step 2: Convert to fraction form
    202,842.30/304,263.45 = 55,098.30/x
  3. Step 3: Cross multiply
    202,842.30x = 304,263.45 × 55,098.30
  4. Step 4: Simplify right side
    202,842.30x = 16,764,398,847.14
  5. Step 5: Solve for x
    x = 16,764,398,847.14/202,842.30
  6. Step 6: Final answer
    x = 82,647.45

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1.5x scale

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.