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Finding the Fourth Proportional to 164,735.86, 247,134.70 and 74,784.88

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Solution

The fourth proportional to 164,735.86, 247,134.70 and 74,784.88 is: 112,191.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,735.86 : 247,134.70 = 74,784.88 : x
  2. Step 2: Convert to fraction form
    164,735.86/247,134.70 = 74,784.88/x
  3. Step 3: Cross multiply
    164,735.86x = 247,134.70 × 74,784.88
  4. Step 4: Simplify right side
    164,735.86x = 18,481,938,883.34
  5. Step 5: Solve for x
    x = 18,481,938,883.34/164,735.86
  6. Step 6: Final answer
    x = 112,191.35

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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.