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Finding the Fourth Proportional to 288,105.20, 432,157.80 and 77,742.80

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Solution

The fourth proportional to 288,105.20, 432,157.80 and 77,742.80 is: 116,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,105.20 : 432,157.80 = 77,742.80 : x
  2. Step 2: Convert to fraction form
    288,105.20/432,157.80 = 77,742.80/x
  3. Step 3: Cross multiply
    288,105.20x = 432,157.80 × 77,742.80
  4. Step 4: Simplify right side
    288,105.20x = 33,597,157,413.84
  5. Step 5: Solve for x
    x = 33,597,157,413.84/288,105.20
  6. Step 6: Final answer
    x = 116,614.20

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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.