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Finding the Fourth Proportional to 97,675.80, 146,124.90 and 84,672.60

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Solution

The fourth proportional to 97,675.80, 146,124.90 and 84,672.60 is: 126,671.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,675.80 : 146,124.90 = 84,672.60 : x
  2. Step 2: Convert to fraction form
    97,675.80/146,124.90 = 84,672.60/x
  3. Step 3: Cross multiply
    97,675.80x = 146,124.90 × 84,672.60
  4. Step 4: Simplify right side
    97,675.80x = 12,372,775,207.74
  5. Step 5: Solve for x
    x = 12,372,775,207.74/97,675.80
  6. Step 6: Final answer
    x = 126,671.86

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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.