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Finding the Fourth Proportional to 155,419.80, 233,129.70 and 142,978.20

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Solution

The fourth proportional to 155,419.80, 233,129.70 and 142,978.20 is: 214,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,419.80 : 233,129.70 = 142,978.20 : x
  2. Step 2: Convert to fraction form
    155,419.80/233,129.70 = 142,978.20/x
  3. Step 3: Cross multiply
    155,419.80x = 233,129.70 × 142,978.20
  4. Step 4: Simplify right side
    155,419.80x = 33,332,464,872.54
  5. Step 5: Solve for x
    x = 33,332,464,872.54/155,419.80
  6. Step 6: Final answer
    x = 214,467.30

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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.