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Finding the Fourth Proportional to 269,701.90, 404,407.05 and 111,946.30

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Solution

The fourth proportional to 269,701.90, 404,407.05 and 111,946.30 is: 167,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,701.90 : 404,407.05 = 111,946.30 : x
  2. Step 2: Convert to fraction form
    269,701.90/404,407.05 = 111,946.30/x
  3. Step 3: Cross multiply
    269,701.90x = 404,407.05 × 111,946.30
  4. Step 4: Simplify right side
    269,701.90x = 45,271,872,941.42
  5. Step 5: Solve for x
    x = 45,271,872,941.42/269,701.90
  6. Step 6: Final answer
    x = 167,858.93

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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.