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Finding the Fourth Proportional to 453,769.84, 680,629.92 and 138,200.32

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Solution

The fourth proportional to 453,769.84, 680,629.92 and 138,200.32 is: 207,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,769.84 : 680,629.92 = 138,200.32 : x
  2. Step 2: Convert to fraction form
    453,769.84/680,629.92 = 138,200.32/x
  3. Step 3: Cross multiply
    453,769.84x = 680,629.92 × 138,200.32
  4. Step 4: Simplify right side
    453,769.84x = 94,063,272,745.57
  5. Step 5: Solve for x
    x = 94,063,272,745.57/453,769.84
  6. Step 6: Final answer
    x = 207,292.91

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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.