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Finding the Fourth Proportional to 218,205.60, 327,308.40 and 77,968.80

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Solution

The fourth proportional to 218,205.60, 327,308.40 and 77,968.80 is: 116,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,205.60 : 327,308.40 = 77,968.80 : x
  2. Step 2: Convert to fraction form
    218,205.60/327,308.40 = 77,968.80/x
  3. Step 3: Cross multiply
    218,205.60x = 327,308.40 × 77,968.80
  4. Step 4: Simplify right side
    218,205.60x = 25,519,843,177.92
  5. Step 5: Solve for x
    x = 25,519,843,177.92/218,205.60
  6. Step 6: Final answer
    x = 116,953.20

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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.