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Finding the Fourth Proportional to 176,720.40, 264,497.40 and 137,062.80

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Solution

The fourth proportional to 176,720.40, 264,497.40 and 137,062.80 is: 205,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,720.40 : 264,497.40 = 137,062.80 : x
  2. Step 2: Convert to fraction form
    176,720.40/264,497.40 = 137,062.80/x
  3. Step 3: Cross multiply
    176,720.40x = 264,497.40 × 137,062.80
  4. Step 4: Simplify right side
    176,720.40x = 36,252,754,236.72
  5. Step 5: Solve for x
    x = 36,252,754,236.72/176,720.40
  6. Step 6: Final answer
    x = 205,141.88

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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.