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Finding the Fourth Proportional to 110,038.60, 164,912.10 and 97,499.80

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Solution

The fourth proportional to 110,038.60, 164,912.10 and 97,499.80 is: 146,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,038.60 : 164,912.10 = 97,499.80 : x
  2. Step 2: Convert to fraction form
    110,038.60/164,912.10 = 97,499.80/x
  3. Step 3: Cross multiply
    110,038.60x = 164,912.10 × 97,499.80
  4. Step 4: Simplify right side
    110,038.60x = 16,078,896,767.58
  5. Step 5: Solve for x
    x = 16,078,896,767.58/110,038.60
  6. Step 6: Final answer
    x = 146,120.51

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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.