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Finding the Fourth Proportional to 205,404.54, 283,459.59 and 114,763.74

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Solution

The fourth proportional to 205,404.54, 283,459.59 and 114,763.74 is: 158,374.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,404.54 : 283,459.59 = 114,763.74 : x
  2. Step 2: Convert to fraction form
    205,404.54/283,459.59 = 114,763.74/x
  3. Step 3: Cross multiply
    205,404.54x = 283,459.59 × 114,763.74
  4. Step 4: Simplify right side
    205,404.54x = 32,530,882,687.27
  5. Step 5: Solve for x
    x = 32,530,882,687.27/205,404.54
  6. Step 6: Final answer
    x = 158,374.70

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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.