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Finding the Fourth Proportional to 134,477.86, 201,748.38 and 75,354.34

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Solution

The fourth proportional to 134,477.86, 201,748.38 and 75,354.34 is: 113,049.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,477.86 : 201,748.38 = 75,354.34 : x
  2. Step 2: Convert to fraction form
    134,477.86/201,748.38 = 75,354.34/x
  3. Step 3: Cross multiply
    134,477.86x = 201,748.38 × 75,354.34
  4. Step 4: Simplify right side
    134,477.86x = 15,202,614,635.46
  5. Step 5: Solve for x
    x = 15,202,614,635.46/134,477.86
  6. Step 6: Final answer
    x = 113,049.21

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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.