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Finding the Fourth Proportional to 283,219.32, 424,128.18 and 164,530.68

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Solution

The fourth proportional to 283,219.32, 424,128.18 and 164,530.68 is: 246,388.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,219.32 : 424,128.18 = 164,530.68 : x
  2. Step 2: Convert to fraction form
    283,219.32/424,128.18 = 164,530.68/x
  3. Step 3: Cross multiply
    283,219.32x = 424,128.18 × 164,530.68
  4. Step 4: Simplify right side
    283,219.32x = 69,782,097,862.56
  5. Step 5: Solve for x
    x = 69,782,097,862.56/283,219.32
  6. Step 6: Final answer
    x = 246,388.90

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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.