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Finding the Fourth Proportional to 296,114.36, 408,637.82 and 160,148.31

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Solution

The fourth proportional to 296,114.36, 408,637.82 and 160,148.31 is: 221,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,114.36 : 408,637.82 = 160,148.31 : x
  2. Step 2: Convert to fraction form
    296,114.36/408,637.82 = 160,148.31/x
  3. Step 3: Cross multiply
    296,114.36x = 408,637.82 × 160,148.31
  4. Step 4: Simplify right side
    296,114.36x = 65,442,656,458.70
  5. Step 5: Solve for x
    x = 65,442,656,458.70/296,114.36
  6. Step 6: Final answer
    x = 221,004.67

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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.