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Finding the Fourth Proportional to 205,046.76, 283,080.78 and 133,390.92

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Solution

The fourth proportional to 205,046.76, 283,080.78 and 133,390.92 is: 184,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,046.76 : 283,080.78 = 133,390.92 : x
  2. Step 2: Convert to fraction form
    205,046.76/283,080.78 = 133,390.92/x
  3. Step 3: Cross multiply
    205,046.76x = 283,080.78 × 133,390.92
  4. Step 4: Simplify right side
    205,046.76x = 37,760,405,678.52
  5. Step 5: Solve for x
    x = 37,760,405,678.52/205,046.76
  6. Step 6: Final answer
    x = 184,155.10

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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.