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Finding the Fourth Proportional to 151,978.70, 227,968.05 and 46,829.90

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Solution

The fourth proportional to 151,978.70, 227,968.05 and 46,829.90 is: 70,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,978.70 : 227,968.05 = 46,829.90 : x
  2. Step 2: Convert to fraction form
    151,978.70/227,968.05 = 46,829.90/x
  3. Step 3: Cross multiply
    151,978.70x = 227,968.05 × 46,829.90
  4. Step 4: Simplify right side
    151,978.70x = 10,675,720,984.70
  5. Step 5: Solve for x
    x = 10,675,720,984.70/151,978.70
  6. Step 6: Final answer
    x = 70,244.85

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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.