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Finding the Fourth Proportional to 145,672.50, 218,508.90 and 83,299.26

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Solution

The fourth proportional to 145,672.50, 218,508.90 and 83,299.26 is: 124,948.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,672.50 : 218,508.90 = 83,299.26 : x
  2. Step 2: Convert to fraction form
    145,672.50/218,508.90 = 83,299.26/x
  3. Step 3: Cross multiply
    145,672.50x = 218,508.90 × 83,299.26
  4. Step 4: Simplify right side
    145,672.50x = 18,201,629,673.41
  5. Step 5: Solve for x
    x = 18,201,629,673.41/145,672.50
  6. Step 6: Final answer
    x = 124,948.98

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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.