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Finding the Fourth Proportional to 109,427.60, 164,141.40 and 89,728.40

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Solution

The fourth proportional to 109,427.60, 164,141.40 and 89,728.40 is: 134,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,427.60 : 164,141.40 = 89,728.40 : x
  2. Step 2: Convert to fraction form
    109,427.60/164,141.40 = 89,728.40/x
  3. Step 3: Cross multiply
    109,427.60x = 164,141.40 × 89,728.40
  4. Step 4: Simplify right side
    109,427.60x = 14,728,145,195.76
  5. Step 5: Solve for x
    x = 14,728,145,195.76/109,427.60
  6. Step 6: Final answer
    x = 134,592.60

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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.