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Finding the Fourth Proportional to 130,187.26, 179,654.70 and 72,823.06

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Solution

The fourth proportional to 130,187.26, 179,654.70 and 72,823.06 is: 100,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,187.26 : 179,654.70 = 72,823.06 : x
  2. Step 2: Convert to fraction form
    130,187.26/179,654.70 = 72,823.06/x
  3. Step 3: Cross multiply
    130,187.26x = 179,654.70 × 72,823.06
  4. Step 4: Simplify right side
    130,187.26x = 13,083,004,997.38
  5. Step 5: Solve for x
    x = 13,083,004,997.38/130,187.26
  6. Step 6: Final answer
    x = 100,493.74

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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.