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Finding the Fourth Proportional to 205,615.88, 307,570.84 and 193,018.76

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Solution

The fourth proportional to 205,615.88, 307,570.84 and 193,018.76 is: 288,727.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,615.88 : 307,570.84 = 193,018.76 : x
  2. Step 2: Convert to fraction form
    205,615.88/307,570.84 = 193,018.76/x
  3. Step 3: Cross multiply
    205,615.88x = 307,570.84 × 193,018.76
  4. Step 4: Simplify right side
    205,615.88x = 59,366,942,148.96
  5. Step 5: Solve for x
    x = 59,366,942,148.96/205,615.88
  6. Step 6: Final answer
    x = 288,727.42

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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.