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Finding the Fourth Proportional to 149,672.48, 206,547.60 and 82,604

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Solution

The fourth proportional to 149,672.48, 206,547.60 and 82,604 is: 113,993.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,672.48 : 206,547.60 = 82,604 : x
  2. Step 2: Convert to fraction form
    149,672.48/206,547.60 = 82,604/x
  3. Step 3: Cross multiply
    149,672.48x = 206,547.60 × 82,604
  4. Step 4: Simplify right side
    149,672.48x = 17,061,657,950.40
  5. Step 5: Solve for x
    x = 17,061,657,950.40/149,672.48
  6. Step 6: Final answer
    x = 113,993.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.