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Finding the Fourth Proportional to 151,978.20, 227,967.30 and 46,829.40

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Solution

The fourth proportional to 151,978.20, 227,967.30 and 46,829.40 is: 70,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,978.20 : 227,967.30 = 46,829.40 : x
  2. Step 2: Convert to fraction form
    151,978.20/227,967.30 = 46,829.40/x
  3. Step 3: Cross multiply
    151,978.20x = 227,967.30 × 46,829.40
  4. Step 4: Simplify right side
    151,978.20x = 10,675,571,878.62
  5. Step 5: Solve for x
    x = 10,675,571,878.62/151,978.20
  6. Step 6: Final answer
    x = 70,244.10

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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.