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Finding the Fourth Proportional to 192,031.59, 288,047.41 and 51,790.22

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Solution

The fourth proportional to 192,031.59, 288,047.41 and 51,790.22 is: 77,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,031.59 : 288,047.41 = 51,790.22 : x
  2. Step 2: Convert to fraction form
    192,031.59/288,047.41 = 51,790.22/x
  3. Step 3: Cross multiply
    192,031.59x = 288,047.41 × 51,790.22
  4. Step 4: Simplify right side
    192,031.59x = 14,918,038,244.80
  5. Step 5: Solve for x
    x = 14,918,038,244.80/192,031.59
  6. Step 6: Final answer
    x = 77,685.33

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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.