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Finding the Fourth Proportional to 110,849.60, 166,274.40 and 96,415.40

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Solution

The fourth proportional to 110,849.60, 166,274.40 and 96,415.40 is: 144,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,849.60 : 166,274.40 = 96,415.40 : x
  2. Step 2: Convert to fraction form
    110,849.60/166,274.40 = 96,415.40/x
  3. Step 3: Cross multiply
    110,849.60x = 166,274.40 × 96,415.40
  4. Step 4: Simplify right side
    110,849.60x = 16,031,412,785.76
  5. Step 5: Solve for x
    x = 16,031,412,785.76/110,849.60
  6. Step 6: Final answer
    x = 144,623.10

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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.