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Finding the Fourth Proportional to 256,069.20, 384,103.80 and 145,477.20

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Solution

The fourth proportional to 256,069.20, 384,103.80 and 145,477.20 is: 218,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,069.20 : 384,103.80 = 145,477.20 : x
  2. Step 2: Convert to fraction form
    256,069.20/384,103.80 = 145,477.20/x
  3. Step 3: Cross multiply
    256,069.20x = 384,103.80 × 145,477.20
  4. Step 4: Simplify right side
    256,069.20x = 55,878,345,333.36
  5. Step 5: Solve for x
    x = 55,878,345,333.36/256,069.20
  6. Step 6: Final answer
    x = 218,215.80

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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.