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Finding the Fourth Proportional to 202,894.80, 304,342.20 and 197,710.80

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Solution

The fourth proportional to 202,894.80, 304,342.20 and 197,710.80 is: 296,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,894.80 : 304,342.20 = 197,710.80 : x
  2. Step 2: Convert to fraction form
    202,894.80/304,342.20 = 197,710.80/x
  3. Step 3: Cross multiply
    202,894.80x = 304,342.20 × 197,710.80
  4. Step 4: Simplify right side
    202,894.80x = 60,171,739,835.76
  5. Step 5: Solve for x
    x = 60,171,739,835.76/202,894.80
  6. Step 6: Final answer
    x = 296,566.20

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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.