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Finding the Fourth Proportional to 233,116.80, 321,657.60 and 137,587.20

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Solution

The fourth proportional to 233,116.80, 321,657.60 and 137,587.20 is: 189,844.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,116.80 : 321,657.60 = 137,587.20 : x
  2. Step 2: Convert to fraction form
    233,116.80/321,657.60 = 137,587.20/x
  3. Step 3: Cross multiply
    233,116.80x = 321,657.60 × 137,587.20
  4. Step 4: Simplify right side
    233,116.80x = 44,255,968,542.72
  5. Step 5: Solve for x
    x = 44,255,968,542.72/233,116.80
  6. Step 6: Final answer
    x = 189,844.61

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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.