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Finding the Fourth Proportional to 109,999.60, 164,999.40 and 65,676.40

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Solution

The fourth proportional to 109,999.60, 164,999.40 and 65,676.40 is: 98,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,999.60 : 164,999.40 = 65,676.40 : x
  2. Step 2: Convert to fraction form
    109,999.60/164,999.40 = 65,676.40/x
  3. Step 3: Cross multiply
    109,999.60x = 164,999.40 × 65,676.40
  4. Step 4: Simplify right side
    109,999.60x = 10,836,566,594.16
  5. Step 5: Solve for x
    x = 10,836,566,594.16/109,999.60
  6. Step 6: Final answer
    x = 98,514.60

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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.