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Finding the Fourth Proportional to 296,116.89, 408,641.30 and 160,150.83

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Solution

The fourth proportional to 296,116.89, 408,641.30 and 160,150.83 is: 221,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,116.89 : 408,641.30 = 160,150.83 : x
  2. Step 2: Convert to fraction form
    296,116.89/408,641.30 = 160,150.83/x
  3. Step 3: Cross multiply
    296,116.89x = 408,641.30 × 160,150.83
  4. Step 4: Simplify right side
    296,116.89x = 65,444,243,367.28
  5. Step 5: Solve for x
    x = 65,444,243,367.28/296,116.89
  6. Step 6: Final answer
    x = 221,008.14

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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.