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Finding the Fourth Proportional to 173,265.34, 259,897.84 and 65,214.88

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Solution

The fourth proportional to 173,265.34, 259,897.84 and 65,214.88 is: 97,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,265.34 : 259,897.84 = 65,214.88 : x
  2. Step 2: Convert to fraction form
    173,265.34/259,897.84 = 65,214.88/x
  3. Step 3: Cross multiply
    173,265.34x = 259,897.84 × 65,214.88
  4. Step 4: Simplify right side
    173,265.34x = 16,949,205,716.60
  5. Step 5: Solve for x
    x = 16,949,205,716.60/173,265.34
  6. Step 6: Final answer
    x = 97,822.25

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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.