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Finding the Fourth Proportional to 283,027.52, 390,588.36 and 155,712.80

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Solution

The fourth proportional to 283,027.52, 390,588.36 and 155,712.80 is: 214,889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,027.52 : 390,588.36 = 155,712.80 : x
  2. Step 2: Convert to fraction form
    283,027.52/390,588.36 = 155,712.80/x
  3. Step 3: Cross multiply
    283,027.52x = 390,588.36 × 155,712.80
  4. Step 4: Simplify right side
    283,027.52x = 60,819,607,183.01
  5. Step 5: Solve for x
    x = 60,819,607,183.01/283,027.52
  6. Step 6: Final answer
    x = 214,889.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.