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Finding the Fourth Proportional to 151,029.54, 208,416.24 and 83,046.24

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Solution

The fourth proportional to 151,029.54, 208,416.24 and 83,046.24 is: 114,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,029.54 : 208,416.24 = 83,046.24 : x
  2. Step 2: Convert to fraction form
    151,029.54/208,416.24 = 83,046.24/x
  3. Step 3: Cross multiply
    151,029.54x = 208,416.24 × 83,046.24
  4. Step 4: Simplify right side
    151,029.54x = 17,308,185,086.94
  5. Step 5: Solve for x
    x = 17,308,185,086.94/151,029.54
  6. Step 6: Final answer
    x = 114,601.32

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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.