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Finding the Fourth Proportional to 109,499.60, 164,249.40 and 97,252.40

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Solution

The fourth proportional to 109,499.60, 164,249.40 and 97,252.40 is: 145,878.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,499.60 : 164,249.40 = 97,252.40 : x
  2. Step 2: Convert to fraction form
    109,499.60/164,249.40 = 97,252.40/x
  3. Step 3: Cross multiply
    109,499.60x = 164,249.40 × 97,252.40
  4. Step 4: Simplify right side
    109,499.60x = 15,973,648,348.56
  5. Step 5: Solve for x
    x = 15,973,648,348.56/109,499.60
  6. Step 6: Final answer
    x = 145,878.60

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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.