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Finding the Fourth Proportional to 153,924.92, 230,563.32 and 78,816.80

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Solution

The fourth proportional to 153,924.92, 230,563.32 and 78,816.80 is: 118,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,924.92 : 230,563.32 = 78,816.80 : x
  2. Step 2: Convert to fraction form
    153,924.92/230,563.32 = 78,816.80/x
  3. Step 3: Cross multiply
    153,924.92x = 230,563.32 × 78,816.80
  4. Step 4: Simplify right side
    153,924.92x = 18,172,263,079.78
  5. Step 5: Solve for x
    x = 18,172,263,079.78/153,924.92
  6. Step 6: Final answer
    x = 118,059.27

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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.