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Finding the Fourth Proportional to 192,380.82, 288,585.72 and 57,434.22

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Solution

The fourth proportional to 192,380.82, 288,585.72 and 57,434.22 is: 86,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,380.82 : 288,585.72 = 57,434.22 : x
  2. Step 2: Convert to fraction form
    192,380.82/288,585.72 = 57,434.22/x
  3. Step 3: Cross multiply
    192,380.82x = 288,585.72 × 57,434.22
  4. Step 4: Simplify right side
    192,380.82x = 16,574,695,731.34
  5. Step 5: Solve for x
    x = 16,574,695,731.34/192,380.82
  6. Step 6: Final answer
    x = 86,155.66

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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.