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Finding the Fourth Proportional to 173,265.60, 259,898.40 and 106,489.20

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Solution

The fourth proportional to 173,265.60, 259,898.40 and 106,489.20 is: 159,733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,265.60 : 259,898.40 = 106,489.20 : x
  2. Step 2: Convert to fraction form
    173,265.60/259,898.40 = 106,489.20/x
  3. Step 3: Cross multiply
    173,265.60x = 259,898.40 × 106,489.20
  4. Step 4: Simplify right side
    173,265.60x = 27,676,372,697.28
  5. Step 5: Solve for x
    x = 27,676,372,697.28/173,265.60
  6. Step 6: Final answer
    x = 159,733.80

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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.