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Finding the Fourth Proportional to 256,822.83, 354,558.03 and 154,874.11

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Solution

The fourth proportional to 256,822.83, 354,558.03 and 154,874.11 is: 213,812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,822.83 : 354,558.03 = 154,874.11 : x
  2. Step 2: Convert to fraction form
    256,822.83/354,558.03 = 154,874.11/x
  3. Step 3: Cross multiply
    256,822.83x = 354,558.03 × 154,874.11
  4. Step 4: Simplify right side
    256,822.83x = 54,911,861,339.77
  5. Step 5: Solve for x
    x = 54,911,861,339.77/256,822.83
  6. Step 6: Final answer
    x = 213,812.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.