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Finding the Fourth Proportional to 151,059.74, 208,448.44 and 83,076.84

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Solution

The fourth proportional to 151,059.74, 208,448.44 and 83,076.84 is: 114,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,059.74 : 208,448.44 = 83,076.84 : x
  2. Step 2: Convert to fraction form
    151,059.74/208,448.44 = 83,076.84/x
  3. Step 3: Cross multiply
    151,059.74x = 208,448.44 × 83,076.84
  4. Step 4: Simplify right side
    151,059.74x = 17,317,237,490.44
  5. Step 5: Solve for x
    x = 17,317,237,490.44/151,059.74
  6. Step 6: Final answer
    x = 114,638.34

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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.