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Finding the Fourth Proportional to 273,265.90, 409,965.53 and 104,783.20

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Solution

The fourth proportional to 273,265.90, 409,965.53 and 104,783.20 is: 157,200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,265.90 : 409,965.53 = 104,783.20 : x
  2. Step 2: Convert to fraction form
    273,265.90/409,965.53 = 104,783.20/x
  3. Step 3: Cross multiply
    273,265.90x = 409,965.53 × 104,783.20
  4. Step 4: Simplify right side
    273,265.90x = 42,957,500,123.10
  5. Step 5: Solve for x
    x = 42,957,500,123.10/273,265.90
  6. Step 6: Final answer
    x = 157,200.37

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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.