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Finding the Fourth Proportional to 199,971.60, 299,957.40 and 182,256.90

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Solution

The fourth proportional to 199,971.60, 299,957.40 and 182,256.90 is: 273,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,971.60 : 299,957.40 = 182,256.90 : x
  2. Step 2: Convert to fraction form
    199,971.60/299,957.40 = 182,256.90/x
  3. Step 3: Cross multiply
    199,971.60x = 299,957.40 × 182,256.90
  4. Step 4: Simplify right side
    199,971.60x = 54,669,305,856.06
  5. Step 5: Solve for x
    x = 54,669,305,856.06/199,971.60
  6. Step 6: Final answer
    x = 273,385.35

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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.