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Finding the Fourth Proportional to 296,208.63, 408,766.01 and 160,242.03

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Solution

The fourth proportional to 296,208.63, 408,766.01 and 160,242.03 is: 221,132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,208.63 : 408,766.01 = 160,242.03 : x
  2. Step 2: Convert to fraction form
    296,208.63/408,766.01 = 160,242.03/x
  3. Step 3: Cross multiply
    296,208.63x = 408,766.01 × 160,242.03
  4. Step 4: Simplify right side
    296,208.63x = 65,501,494,436.19
  5. Step 5: Solve for x
    x = 65,501,494,436.19/296,208.63
  6. Step 6: Final answer
    x = 221,132.97

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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.