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Finding the Fourth Proportional to 110,054.60, 164,936.10 and 97,515.80

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Solution

The fourth proportional to 110,054.60, 164,936.10 and 97,515.80 is: 146,144.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,054.60 : 164,936.10 = 97,515.80 : x
  2. Step 2: Convert to fraction form
    110,054.60/164,936.10 = 97,515.80/x
  3. Step 3: Cross multiply
    110,054.60x = 164,936.10 × 97,515.80
  4. Step 4: Simplify right side
    110,054.60x = 16,083,875,740.38
  5. Step 5: Solve for x
    x = 16,083,875,740.38/110,054.60
  6. Step 6: Final answer
    x = 146,144.51

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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.