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Finding the Fourth Proportional to 164,094.78, 246,142.11 and 39,435.78

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Solution

The fourth proportional to 164,094.78, 246,142.11 and 39,435.78 is: 59,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,094.78 : 246,142.11 = 39,435.78 : x
  2. Step 2: Convert to fraction form
    164,094.78/246,142.11 = 39,435.78/x
  3. Step 3: Cross multiply
    164,094.78x = 246,142.11 × 39,435.78
  4. Step 4: Simplify right side
    164,094.78x = 9,706,806,098.70
  5. Step 5: Solve for x
    x = 9,706,806,098.70/164,094.78
  6. Step 6: Final answer
    x = 59,153.66

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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.