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Finding the Fourth Proportional to 103,954.40, 155,931.60 and 96,581.60

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Solution

The fourth proportional to 103,954.40, 155,931.60 and 96,581.60 is: 144,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,954.40 : 155,931.60 = 96,581.60 : x
  2. Step 2: Convert to fraction form
    103,954.40/155,931.60 = 96,581.60/x
  3. Step 3: Cross multiply
    103,954.40x = 155,931.60 × 96,581.60
  4. Step 4: Simplify right side
    103,954.40x = 15,060,123,418.56
  5. Step 5: Solve for x
    x = 15,060,123,418.56/103,954.40
  6. Step 6: Final answer
    x = 144,872.40

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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.