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Finding the Fourth Proportional to 109,969.70, 164,954.55 and 97,503.80

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Solution

The fourth proportional to 109,969.70, 164,954.55 and 97,503.80 is: 146,255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,969.70 : 164,954.55 = 97,503.80 : x
  2. Step 2: Convert to fraction form
    109,969.70/164,954.55 = 97,503.80/x
  3. Step 3: Cross multiply
    109,969.70x = 164,954.55 × 97,503.80
  4. Step 4: Simplify right side
    109,969.70x = 16,083,695,452.29
  5. Step 5: Solve for x
    x = 16,083,695,452.29/109,969.70
  6. Step 6: Final answer
    x = 146,255.70

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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.