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Finding the Fourth Proportional to 269,556.80, 371,990.70 and 148,702.24

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Solution

The fourth proportional to 269,556.80, 371,990.70 and 148,702.24 is: 205,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,556.80 : 371,990.70 = 148,702.24 : x
  2. Step 2: Convert to fraction form
    269,556.80/371,990.70 = 148,702.24/x
  3. Step 3: Cross multiply
    269,556.80x = 371,990.70 × 148,702.24
  4. Step 4: Simplify right side
    269,556.80x = 55,315,849,419.19
  5. Step 5: Solve for x
    x = 55,315,849,419.19/269,556.80
  6. Step 6: Final answer
    x = 205,210.36

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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.