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Finding the Fourth Proportional to 231,588.54, 319,743.72 and 178,152.84

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Solution

The fourth proportional to 231,588.54, 319,743.72 and 178,152.84 is: 245,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,588.54 : 319,743.72 = 178,152.84 : x
  2. Step 2: Convert to fraction form
    231,588.54/319,743.72 = 178,152.84/x
  3. Step 3: Cross multiply
    231,588.54x = 319,743.72 × 178,152.84
  4. Step 4: Simplify right side
    231,588.54x = 56,963,251,790.16
  5. Step 5: Solve for x
    x = 56,963,251,790.16/231,588.54
  6. Step 6: Final answer
    x = 245,967.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.