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Finding the Fourth Proportional to 296,057.76, 444,261.60 and 109,200.48

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Solution

The fourth proportional to 296,057.76, 444,261.60 and 109,200.48 is: 163,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,057.76 : 444,261.60 = 109,200.48 : x
  2. Step 2: Convert to fraction form
    296,057.76/444,261.60 = 109,200.48/x
  3. Step 3: Cross multiply
    296,057.76x = 444,261.60 × 109,200.48
  4. Step 4: Simplify right side
    296,057.76x = 48,513,579,965.57
  5. Step 5: Solve for x
    x = 48,513,579,965.57/296,057.76
  6. Step 6: Final answer
    x = 163,865.25

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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.