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Finding the Fourth Proportional to 228,953.64, 343,561.50 and 178,893.48

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Solution

The fourth proportional to 228,953.64, 343,561.50 and 178,893.48 is: 268,442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,953.64 : 343,561.50 = 178,893.48 : x
  2. Step 2: Convert to fraction form
    228,953.64/343,561.50 = 178,893.48/x
  3. Step 3: Cross multiply
    228,953.64x = 343,561.50 × 178,893.48
  4. Step 4: Simplify right side
    228,953.64x = 61,460,912,329.02
  5. Step 5: Solve for x
    x = 61,460,912,329.02/228,953.64
  6. Step 6: Final answer
    x = 268,442.61

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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.