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Finding the Fourth Proportional to 109,663.60, 164,495.40 and 83,419.60

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Solution

The fourth proportional to 109,663.60, 164,495.40 and 83,419.60 is: 125,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,663.60 : 164,495.40 = 83,419.60 : x
  2. Step 2: Convert to fraction form
    109,663.60/164,495.40 = 83,419.60/x
  3. Step 3: Cross multiply
    109,663.60x = 164,495.40 × 83,419.60
  4. Step 4: Simplify right side
    109,663.60x = 13,722,140,469.84
  5. Step 5: Solve for x
    x = 13,722,140,469.84/109,663.60
  6. Step 6: Final answer
    x = 125,129.40

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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.