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Finding the Fourth Proportional to 177,116.40, 265,091.40 and 137,458.80

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Solution

The fourth proportional to 177,116.40, 265,091.40 and 137,458.80 is: 205,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,116.40 : 265,091.40 = 137,458.80 : x
  2. Step 2: Convert to fraction form
    177,116.40/265,091.40 = 137,458.80/x
  3. Step 3: Cross multiply
    177,116.40x = 265,091.40 × 137,458.80
  4. Step 4: Simplify right side
    177,116.40x = 36,439,145,734.32
  5. Step 5: Solve for x
    x = 36,439,145,734.32/177,116.40
  6. Step 6: Final answer
    x = 205,735.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.