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Finding the Fourth Proportional to 354,172.96, 531,102.69 and 101,395.85

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Solution

The fourth proportional to 354,172.96, 531,102.69 and 101,395.85 is: 152,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,172.96 : 531,102.69 = 101,395.85 : x
  2. Step 2: Convert to fraction form
    354,172.96/531,102.69 = 101,395.85/x
  3. Step 3: Cross multiply
    354,172.96x = 531,102.69 × 101,395.85
  4. Step 4: Simplify right side
    354,172.96x = 53,851,610,017.59
  5. Step 5: Solve for x
    x = 53,851,610,017.59/354,172.96
  6. Step 6: Final answer
    x = 152,048.90

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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.