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Finding the Fourth Proportional to 105,193.92, 145,168.80 and 57,447.84

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Solution

The fourth proportional to 105,193.92, 145,168.80 and 57,447.84 is: 79,278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,193.92 : 145,168.80 = 57,447.84 : x
  2. Step 2: Convert to fraction form
    105,193.92/145,168.80 = 57,447.84/x
  3. Step 3: Cross multiply
    105,193.92x = 145,168.80 × 57,447.84
  4. Step 4: Simplify right side
    105,193.92x = 8,339,633,995.39
  5. Step 5: Solve for x
    x = 8,339,633,995.39/105,193.92
  6. Step 6: Final answer
    x = 79,278.67

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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.