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Finding the Fourth Proportional to 256,016.85, 384,074.58 and 98,233.01

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Solution

The fourth proportional to 256,016.85, 384,074.58 and 98,233.01 is: 147,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,016.85 : 384,074.58 = 98,233.01 : x
  2. Step 2: Convert to fraction form
    256,016.85/384,074.58 = 98,233.01/x
  3. Step 3: Cross multiply
    256,016.85x = 384,074.58 × 98,233.01
  4. Step 4: Simplify right side
    256,016.85x = 37,728,800,137.51
  5. Step 5: Solve for x
    x = 37,728,800,137.51/256,016.85
  6. Step 6: Final answer
    x = 147,368.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.