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Finding the Fourth Proportional to 283,109.80, 424,664.70 and 194,636.20

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Solution

The fourth proportional to 283,109.80, 424,664.70 and 194,636.20 is: 291,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,109.80 : 424,664.70 = 194,636.20 : x
  2. Step 2: Convert to fraction form
    283,109.80/424,664.70 = 194,636.20/x
  3. Step 3: Cross multiply
    283,109.80x = 424,664.70 × 194,636.20
  4. Step 4: Simplify right side
    283,109.80x = 82,655,123,482.14
  5. Step 5: Solve for x
    x = 82,655,123,482.14/283,109.80
  6. Step 6: Final answer
    x = 291,954.30

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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.