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Finding the Fourth Proportional to 205,775.46, 310,205.51 and 192,058.88

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Solution

The fourth proportional to 205,775.46, 310,205.51 and 192,058.88 is: 289,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,775.46 : 310,205.51 = 192,058.88 : x
  2. Step 2: Convert to fraction form
    205,775.46/310,205.51 = 192,058.88/x
  3. Step 3: Cross multiply
    205,775.46x = 310,205.51 × 192,058.88
  4. Step 4: Simplify right side
    205,775.46x = 59,577,720,309.11
  5. Step 5: Solve for x
    x = 59,577,720,309.11/205,775.46
  6. Step 6: Final answer
    x = 289,527.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.