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Finding the Fourth Proportional to 103,410.96, 155,134.62 and 53,477.46

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Solution

The fourth proportional to 103,410.96, 155,134.62 and 53,477.46 is: 80,225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,410.96 : 155,134.62 = 53,477.46 : x
  2. Step 2: Convert to fraction form
    103,410.96/155,134.62 = 53,477.46/x
  3. Step 3: Cross multiply
    103,410.96x = 155,134.62 × 53,477.46
  4. Step 4: Simplify right side
    103,410.96x = 8,296,205,435.67
  5. Step 5: Solve for x
    x = 8,296,205,435.67/103,410.96
  6. Step 6: Final answer
    x = 80,225.59

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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.