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Finding the Fourth Proportional to 237,044.64, 327,094.80 and 140,251.46

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Solution

The fourth proportional to 237,044.64, 327,094.80 and 140,251.46 is: 193,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,044.64 : 327,094.80 = 140,251.46 : x
  2. Step 2: Convert to fraction form
    237,044.64/327,094.80 = 140,251.46/x
  3. Step 3: Cross multiply
    237,044.64x = 327,094.80 × 140,251.46
  4. Step 4: Simplify right side
    237,044.64x = 45,875,523,258.41
  5. Step 5: Solve for x
    x = 45,875,523,258.41/237,044.64
  6. Step 6: Final answer
    x = 193,531.16

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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.