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Finding the Fourth Proportional to 96,575.60, 144,814.80 and 57,144.80

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Solution

The fourth proportional to 96,575.60, 144,814.80 and 57,144.80 is: 85,688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,575.60 : 144,814.80 = 57,144.80 : x
  2. Step 2: Convert to fraction form
    96,575.60/144,814.80 = 57,144.80/x
  3. Step 3: Cross multiply
    96,575.60x = 144,814.80 × 57,144.80
  4. Step 4: Simplify right side
    96,575.60x = 8,275,412,783.04
  5. Step 5: Solve for x
    x = 8,275,412,783.04/96,575.60
  6. Step 6: Final answer
    x = 85,688.44

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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.