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Finding the Fourth Proportional to 256,005.75, 353,420.76 and 187,017.75

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Solution

The fourth proportional to 256,005.75, 353,420.76 and 187,017.75 is: 258,181.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,005.75 : 353,420.76 = 187,017.75 : x
  2. Step 2: Convert to fraction form
    256,005.75/353,420.76 = 187,017.75/x
  3. Step 3: Cross multiply
    256,005.75x = 353,420.76 × 187,017.75
  4. Step 4: Simplify right side
    256,005.75x = 66,095,955,338.49
  5. Step 5: Solve for x
    x = 66,095,955,338.49/256,005.75
  6. Step 6: Final answer
    x = 258,181.53

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1.5x scale

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.