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Finding the Fourth Proportional to 186,271.92, 256,755.60 and 125,823.60

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Solution

The fourth proportional to 186,271.92, 256,755.60 and 125,823.60 is: 173,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,271.92 : 256,755.60 = 125,823.60 : x
  2. Step 2: Convert to fraction form
    186,271.92/256,755.60 = 125,823.60/x
  3. Step 3: Cross multiply
    186,271.92x = 256,755.60 × 125,823.60
  4. Step 4: Simplify right side
    186,271.92x = 32,305,913,912.16
  5. Step 5: Solve for x
    x = 32,305,913,912.16/186,271.92
  6. Step 6: Final answer
    x = 173,434.16

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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.