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Finding the Fourth Proportional to 200,614.10, 301,037.80 and 82,370.30

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Solution

The fourth proportional to 200,614.10, 301,037.80 and 82,370.30 is: 123,603.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,614.10 : 301,037.80 = 82,370.30 : x
  2. Step 2: Convert to fraction form
    200,614.10/301,037.80 = 82,370.30/x
  3. Step 3: Cross multiply
    200,614.10x = 301,037.80 × 82,370.30
  4. Step 4: Simplify right side
    200,614.10x = 24,796,573,897.34
  5. Step 5: Solve for x
    x = 24,796,573,897.34/200,614.10
  6. Step 6: Final answer
    x = 123,603.35

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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.