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Finding the Fourth Proportional to 296,209.63, 408,767.38 and 160,243.03

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Solution

The fourth proportional to 296,209.63, 408,767.38 and 160,243.03 is: 221,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,209.63 : 408,767.38 = 160,243.03 : x
  2. Step 2: Convert to fraction form
    296,209.63/408,767.38 = 160,243.03/x
  3. Step 3: Cross multiply
    296,209.63x = 408,767.38 × 160,243.03
  4. Step 4: Simplify right side
    296,209.63x = 65,502,123,536.36
  5. Step 5: Solve for x
    x = 65,502,123,536.36/296,209.63
  6. Step 6: Final answer
    x = 221,134.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.