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Finding the Fourth Proportional to 256,343.62, 353,784.25 and 154,420.53

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Solution

The fourth proportional to 256,343.62, 353,784.25 and 154,420.53 is: 213,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,343.62 : 353,784.25 = 154,420.53 : x
  2. Step 2: Convert to fraction form
    256,343.62/353,784.25 = 154,420.53/x
  3. Step 3: Cross multiply
    256,343.62x = 353,784.25 × 154,420.53
  4. Step 4: Simplify right side
    256,343.62x = 54,631,552,247.02
  5. Step 5: Solve for x
    x = 54,631,552,247.02/256,343.62
  6. Step 6: Final answer
    x = 213,118.44

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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.