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Finding the Fourth Proportional to 151,170.80, 208,617.59 and 83,195.60

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Solution

The fourth proportional to 151,170.80, 208,617.59 and 83,195.60 is: 114,810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,170.80 : 208,617.59 = 83,195.60 : x
  2. Step 2: Convert to fraction form
    151,170.80/208,617.59 = 83,195.60/x
  3. Step 3: Cross multiply
    151,170.80x = 208,617.59 × 83,195.60
  4. Step 4: Simplify right side
    151,170.80x = 17,356,064,735.51
  5. Step 5: Solve for x
    x = 17,356,064,735.51/151,170.80
  6. Step 6: Final answer
    x = 114,810.96

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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.