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Finding the Fourth Proportional to 216,064.80, 324,097.20 and 189,820.80

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Solution

The fourth proportional to 216,064.80, 324,097.20 and 189,820.80 is: 284,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,064.80 : 324,097.20 = 189,820.80 : x
  2. Step 2: Convert to fraction form
    216,064.80/324,097.20 = 189,820.80/x
  3. Step 3: Cross multiply
    216,064.80x = 324,097.20 × 189,820.80
  4. Step 4: Simplify right side
    216,064.80x = 61,520,389,781.76
  5. Step 5: Solve for x
    x = 61,520,389,781.76/216,064.80
  6. Step 6: Final answer
    x = 284,731.20

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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.