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Finding the Fourth Proportional to 205,197.80, 283,290.75 and 156,416.76

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Solution

The fourth proportional to 205,197.80, 283,290.75 and 156,416.76 is: 215,944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,197.80 : 283,290.75 = 156,416.76 : x
  2. Step 2: Convert to fraction form
    205,197.80/283,290.75 = 156,416.76/x
  3. Step 3: Cross multiply
    205,197.80x = 283,290.75 × 156,416.76
  4. Step 4: Simplify right side
    205,197.80x = 44,311,421,252.97
  5. Step 5: Solve for x
    x = 44,311,421,252.97/205,197.80
  6. Step 6: Final answer
    x = 215,944.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.