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Finding the Fourth Proportional to 205,855.40, 308,783.10 and 192,031.40

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Solution

The fourth proportional to 205,855.40, 308,783.10 and 192,031.40 is: 288,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,855.40 : 308,783.10 = 192,031.40 : x
  2. Step 2: Convert to fraction form
    205,855.40/308,783.10 = 192,031.40/x
  3. Step 3: Cross multiply
    205,855.40x = 308,783.10 × 192,031.40
  4. Step 4: Simplify right side
    205,855.40x = 59,296,050,989.34
  5. Step 5: Solve for x
    x = 59,296,050,989.34/205,855.40
  6. Step 6: Final answer
    x = 288,047.10

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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.