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Finding the Fourth Proportional to 177,735.85, 243,969.88 and 157,141.60

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Solution

The fourth proportional to 177,735.85, 243,969.88 and 157,141.60 is: 215,701.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,735.85 : 243,969.88 = 157,141.60 : x
  2. Step 2: Convert to fraction form
    177,735.85/243,969.88 = 157,141.60/x
  3. Step 3: Cross multiply
    177,735.85x = 243,969.88 × 157,141.60
  4. Step 4: Simplify right side
    177,735.85x = 38,337,817,295.01
  5. Step 5: Solve for x
    x = 38,337,817,295.01/177,735.85
  6. Step 6: Final answer
    x = 215,701.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.