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Finding the Fourth Proportional to 229,235.60, 343,853.40 and 140,589.20

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Solution

The fourth proportional to 229,235.60, 343,853.40 and 140,589.20 is: 210,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,235.60 : 343,853.40 = 140,589.20 : x
  2. Step 2: Convert to fraction form
    229,235.60/343,853.40 = 140,589.20/x
  3. Step 3: Cross multiply
    229,235.60x = 343,853.40 × 140,589.20
  4. Step 4: Simplify right side
    229,235.60x = 48,342,074,423.28
  5. Step 5: Solve for x
    x = 48,342,074,423.28/229,235.60
  6. Step 6: Final answer
    x = 210,883.80

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