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Finding the Fourth Proportional to 218,280.89, 327,421.43 and 98,197.58

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Solution

The fourth proportional to 218,280.89, 327,421.43 and 98,197.58 is: 147,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,280.89 : 327,421.43 = 98,197.58 : x
  2. Step 2: Convert to fraction form
    218,280.89/327,421.43 = 98,197.58/x
  3. Step 3: Cross multiply
    218,280.89x = 327,421.43 × 98,197.58
  4. Step 4: Simplify right side
    218,280.89x = 32,151,992,066.14
  5. Step 5: Solve for x
    x = 32,151,992,066.14/218,280.89
  6. Step 6: Final answer
    x = 147,296.41

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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.