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Finding the Fourth Proportional to 97,243.84, 134,193 and 54,806.32

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Solution

The fourth proportional to 97,243.84, 134,193 and 54,806.32 is: 75,630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,243.84 : 134,193 = 54,806.32 : x
  2. Step 2: Convert to fraction form
    97,243.84/134,193 = 54,806.32/x
  3. Step 3: Cross multiply
    97,243.84x = 134,193 × 54,806.32
  4. Step 4: Simplify right side
    97,243.84x = 7,354,624,499.76
  5. Step 5: Solve for x
    x = 7,354,624,499.76/97,243.84
  6. Step 6: Final answer
    x = 75,630.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.