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Finding the Fourth Proportional to 102,163.80, 153,360.90 and 78,893.40

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Solution

The fourth proportional to 102,163.80, 153,360.90 and 78,893.40 is: 118,429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,163.80 : 153,360.90 = 78,893.40 : x
  2. Step 2: Convert to fraction form
    102,163.80/153,360.90 = 78,893.40/x
  3. Step 3: Cross multiply
    102,163.80x = 153,360.90 × 78,893.40
  4. Step 4: Simplify right side
    102,163.80x = 12,099,162,828.06
  5. Step 5: Solve for x
    x = 12,099,162,828.06/102,163.80
  6. Step 6: Final answer
    x = 118,429.06

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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.