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Finding the Fourth Proportional to 218,602.80, 327,904.20 and 78,375.60

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Solution

The fourth proportional to 218,602.80, 327,904.20 and 78,375.60 is: 117,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,602.80 : 327,904.20 = 78,375.60 : x
  2. Step 2: Convert to fraction form
    218,602.80/327,904.20 = 78,375.60/x
  3. Step 3: Cross multiply
    218,602.80x = 327,904.20 × 78,375.60
  4. Step 4: Simplify right side
    218,602.80x = 25,699,688,417.52
  5. Step 5: Solve for x
    x = 25,699,688,417.52/218,602.80
  6. Step 6: Final answer
    x = 117,563.40

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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.