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Finding the Fourth Proportional to 149,967.92, 224,906.45 and 78,852.24

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Solution

The fourth proportional to 149,967.92, 224,906.45 and 78,852.24 is: 118,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,967.92 : 224,906.45 = 78,852.24 : x
  2. Step 2: Convert to fraction form
    149,967.92/224,906.45 = 78,852.24/x
  3. Step 3: Cross multiply
    149,967.92x = 224,906.45 × 78,852.24
  4. Step 4: Simplify right side
    149,967.92x = 17,734,376,978.69
  5. Step 5: Solve for x
    x = 17,734,376,978.69/149,967.92
  6. Step 6: Final answer
    x = 118,254.47

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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.