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Finding the Fourth Proportional to 202,948.20, 304,422.30 and 53,188.20

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Solution

The fourth proportional to 202,948.20, 304,422.30 and 53,188.20 is: 79,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,948.20 : 304,422.30 = 53,188.20 : x
  2. Step 2: Convert to fraction form
    202,948.20/304,422.30 = 53,188.20/x
  3. Step 3: Cross multiply
    202,948.20x = 304,422.30 × 53,188.20
  4. Step 4: Simplify right side
    202,948.20x = 16,191,674,176.86
  5. Step 5: Solve for x
    x = 16,191,674,176.86/202,948.20
  6. Step 6: Final answer
    x = 79,782.30

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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.