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Finding the Fourth Proportional to 192,209.80, 288,314.70 and 97,731.40

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Solution

The fourth proportional to 192,209.80, 288,314.70 and 97,731.40 is: 146,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,209.80 : 288,314.70 = 97,731.40 : x
  2. Step 2: Convert to fraction form
    192,209.80/288,314.70 = 97,731.40/x
  3. Step 3: Cross multiply
    192,209.80x = 288,314.70 × 97,731.40
  4. Step 4: Simplify right side
    192,209.80x = 28,177,399,271.58
  5. Step 5: Solve for x
    x = 28,177,399,271.58/192,209.80
  6. Step 6: Final answer
    x = 146,597.10

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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.