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Finding the Fourth Proportional to 216,522.92, 324,784.80 and 83,465.84

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Solution

The fourth proportional to 216,522.92, 324,784.80 and 83,465.84 is: 125,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,522.92 : 324,784.80 = 83,465.84 : x
  2. Step 2: Convert to fraction form
    216,522.92/324,784.80 = 83,465.84/x
  3. Step 3: Cross multiply
    216,522.92x = 324,784.80 × 83,465.84
  4. Step 4: Simplify right side
    216,522.92x = 27,108,436,151.23
  5. Step 5: Solve for x
    x = 27,108,436,151.23/216,522.92
  6. Step 6: Final answer
    x = 125,198.92

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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.