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Finding the Fourth Proportional to 109,625.10, 164,109.60 and 97,815.30

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Solution

The fourth proportional to 109,625.10, 164,109.60 and 97,815.30 is: 146,430.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,625.10 : 164,109.60 = 97,815.30 : x
  2. Step 2: Convert to fraction form
    109,625.10/164,109.60 = 97,815.30/x
  3. Step 3: Cross multiply
    109,625.10x = 164,109.60 × 97,815.30
  4. Step 4: Simplify right side
    109,625.10x = 16,052,429,756.88
  5. Step 5: Solve for x
    x = 16,052,429,756.88/109,625.10
  6. Step 6: Final answer
    x = 146,430.24

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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.