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Finding the Fourth Proportional to 128,801.20, 193,201.80 and 109,774.30

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Solution

The fourth proportional to 128,801.20, 193,201.80 and 109,774.30 is: 164,661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,801.20 : 193,201.80 = 109,774.30 : x
  2. Step 2: Convert to fraction form
    128,801.20/193,201.80 = 109,774.30/x
  3. Step 3: Cross multiply
    128,801.20x = 193,201.80 × 109,774.30
  4. Step 4: Simplify right side
    128,801.20x = 21,208,592,353.74
  5. Step 5: Solve for x
    x = 21,208,592,353.74/128,801.20
  6. Step 6: Final answer
    x = 164,661.45

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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.