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Finding the Fourth Proportional to 256,466.58, 353,922.64 and 141,753.30

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Solution

The fourth proportional to 256,466.58, 353,922.64 and 141,753.30 is: 195,618.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,466.58 : 353,922.64 = 141,753.30 : x
  2. Step 2: Convert to fraction form
    256,466.58/353,922.64 = 141,753.30/x
  3. Step 3: Cross multiply
    256,466.58x = 353,922.64 × 141,753.30
  4. Step 4: Simplify right side
    256,466.58x = 50,169,702,164.71
  5. Step 5: Solve for x
    x = 50,169,702,164.71/256,466.58
  6. Step 6: Final answer
    x = 195,618.87

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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.