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Finding the Fourth Proportional to 96,750.40, 144,906.90 and 57,384.40

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Solution

The fourth proportional to 96,750.40, 144,906.90 and 57,384.40 is: 85,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,750.40 : 144,906.90 = 57,384.40 : x
  2. Step 2: Convert to fraction form
    96,750.40/144,906.90 = 57,384.40/x
  3. Step 3: Cross multiply
    96,750.40x = 144,906.90 × 57,384.40
  4. Step 4: Simplify right side
    96,750.40x = 8,315,395,512.36
  5. Step 5: Solve for x
    x = 8,315,395,512.36/96,750.40
  6. Step 6: Final answer
    x = 85,946.89

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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.