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Finding the Fourth Proportional to 128,946.30, 193,419.45 and 120,198.30

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Solution

The fourth proportional to 128,946.30, 193,419.45 and 120,198.30 is: 180,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,946.30 : 193,419.45 = 120,198.30 : x
  2. Step 2: Convert to fraction form
    128,946.30/193,419.45 = 120,198.30/x
  3. Step 3: Cross multiply
    128,946.30x = 193,419.45 × 120,198.30
  4. Step 4: Simplify right side
    128,946.30x = 23,248,689,076.94
  5. Step 5: Solve for x
    x = 23,248,689,076.94/128,946.30
  6. Step 6: Final answer
    x = 180,297.45

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1.5x scale

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.