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Finding the Fourth Proportional to 96,274.60, 144,258.30 and 80,607.40

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Solution

The fourth proportional to 96,274.60, 144,258.30 and 80,607.40 is: 120,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,274.60 : 144,258.30 = 80,607.40 : x
  2. Step 2: Convert to fraction form
    96,274.60/144,258.30 = 80,607.40/x
  3. Step 3: Cross multiply
    96,274.60x = 144,258.30 × 80,607.40
  4. Step 4: Simplify right side
    96,274.60x = 11,628,286,491.42
  5. Step 5: Solve for x
    x = 11,628,286,491.42/96,274.60
  6. Step 6: Final answer
    x = 120,782.50

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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.