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Finding the Fourth Proportional to 110,258.90, 164,999.55 and 76,822.10

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Solution

The fourth proportional to 110,258.90, 164,999.55 and 76,822.10 is: 114,962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,258.90 : 164,999.55 = 76,822.10 : x
  2. Step 2: Convert to fraction form
    110,258.90/164,999.55 = 76,822.10/x
  3. Step 3: Cross multiply
    110,258.90x = 164,999.55 × 76,822.10
  4. Step 4: Simplify right side
    110,258.90x = 12,675,611,930.06
  5. Step 5: Solve for x
    x = 12,675,611,930.06/110,258.90
  6. Step 6: Final answer
    x = 114,962.26

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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.