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Finding the Fourth Proportional to 269,205.80, 403,776.30 and 111,417.80

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Solution

The fourth proportional to 269,205.80, 403,776.30 and 111,417.80 is: 167,113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,205.80 : 403,776.30 = 111,417.80 : x
  2. Step 2: Convert to fraction form
    269,205.80/403,776.30 = 111,417.80/x
  3. Step 3: Cross multiply
    269,205.80x = 403,776.30 × 111,417.80
  4. Step 4: Simplify right side
    269,205.80x = 44,987,867,038.14
  5. Step 5: Solve for x
    x = 44,987,867,038.14/269,205.80
  6. Step 6: Final answer
    x = 167,113.29

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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.