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Finding the Fourth Proportional to 185,811, 256,423.86 and 100,928.04

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Solution

The fourth proportional to 185,811, 256,423.86 and 100,928.04 is: 139,283.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,811 : 256,423.86 = 100,928.04 : x
  2. Step 2: Convert to fraction form
    185,811/256,423.86 = 100,928.04/x
  3. Step 3: Cross multiply
    185,811x = 256,423.86 × 100,928.04
  4. Step 4: Simplify right side
    185,811x = 25,880,357,599.03
  5. Step 5: Solve for x
    x = 25,880,357,599.03/185,811
  6. Step 6: Final answer
    x = 139,283.24

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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.