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Finding the Fourth Proportional to 338,229.96, 506,656.04 and 160,197.23

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Solution

The fourth proportional to 338,229.96, 506,656.04 and 160,197.23 is: 239,969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,229.96 : 506,656.04 = 160,197.23 : x
  2. Step 2: Convert to fraction form
    338,229.96/506,656.04 = 160,197.23/x
  3. Step 3: Cross multiply
    338,229.96x = 506,656.04 × 160,197.23
  4. Step 4: Simplify right side
    338,229.96x = 81,164,890,836.50
  5. Step 5: Solve for x
    x = 81,164,890,836.50/338,229.96
  6. Step 6: Final answer
    x = 239,969.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.