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Finding the Fourth Proportional to 269,795.20, 404,368.80 and 111,942.40

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Solution

The fourth proportional to 269,795.20, 404,368.80 and 111,942.40 is: 167,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,795.20 : 404,368.80 = 111,942.40 : x
  2. Step 2: Convert to fraction form
    269,795.20/404,368.80 = 111,942.40/x
  3. Step 3: Cross multiply
    269,795.20x = 404,368.80 × 111,942.40
  4. Step 4: Simplify right side
    269,795.20x = 45,266,013,957.12
  5. Step 5: Solve for x
    x = 45,266,013,957.12/269,795.20
  6. Step 6: Final answer
    x = 167,779.17

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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.