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Finding the Fourth Proportional to 156,289, 234,719.50 and 143,113.68

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Solution

The fourth proportional to 156,289, 234,719.50 and 143,113.68 is: 214,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,289 : 234,719.50 = 143,113.68 : x
  2. Step 2: Convert to fraction form
    156,289/234,719.50 = 143,113.68/x
  3. Step 3: Cross multiply
    156,289x = 234,719.50 × 143,113.68
  4. Step 4: Simplify right side
    156,289x = 33,591,571,412.76
  5. Step 5: Solve for x
    x = 33,591,571,412.76/156,289
  6. Step 6: Final answer
    x = 214,932.41

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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.