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Finding the Fourth Proportional to 151,155.52, 208,585.52 and 83,170

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Solution

The fourth proportional to 151,155.52, 208,585.52 and 83,170 is: 114,769.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,155.52 : 208,585.52 = 83,170 : x
  2. Step 2: Convert to fraction form
    151,155.52/208,585.52 = 83,170/x
  3. Step 3: Cross multiply
    151,155.52x = 208,585.52 × 83,170
  4. Step 4: Simplify right side
    151,155.52x = 17,348,057,698.40
  5. Step 5: Solve for x
    x = 17,348,057,698.40/151,155.52
  6. Step 6: Final answer
    x = 114,769.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.