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Finding the Fourth Proportional to 185,928, 256,493.10 and 134,828.64

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Solution

The fourth proportional to 185,928, 256,493.10 and 134,828.64 is: 186,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,928 : 256,493.10 = 134,828.64 : x
  2. Step 2: Convert to fraction form
    185,928/256,493.10 = 134,828.64/x
  3. Step 3: Cross multiply
    185,928x = 256,493.10 × 134,828.64
  4. Step 4: Simplify right side
    185,928x = 34,582,615,842.38
  5. Step 5: Solve for x
    x = 34,582,615,842.38/185,928
  6. Step 6: Final answer
    x = 186,000.04

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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.